diff --git a/website/yarn.lock b/website/yarn.lock
index 441cb335707..3d053e05c09 100644
--- a/website/yarn.lock
+++ b/website/yarn.lock
@@ -60,7 +60,7 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@babel/code-frame@npm:^7.10.4":
+"@babel/code-frame@npm:^7.10.4, @babel/code-frame@npm:^7.29.7":
   version: 7.29.7
   resolution: "@babel/code-frame@npm:7.29.7"
   dependencies:
@@ -82,33 +82,33 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@babel/compat-data@npm:^7.28.6":
-  version: 7.29.3
-  resolution: "@babel/compat-data@npm:7.29.3"
-  checksum: 10c0/81bddd53ce1b1395576fbb7cb739631a976f6b421cd260e6cf2715a9691b9a0ec12ca5c4e1bb88088e60dc87875f6e4ef7fa8674f1dc96ae1bd7c357416605a7
+"@babel/compat-data@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/compat-data@npm:7.29.7"
+  checksum: 10c0/47913f05e08a45a1c9df38c02b4b49e391005085b489432647a1abe112e5d9c75e3be8ea5972b7f6da4ec5d1339922ceb9ea02b8a25d4ed1cb8636e5261f344e
   languageName: node
   linkType: hard
 
 "@babel/core@npm:^7.24.4, @babel/core@npm:^7.28.0":
-  version: 7.29.0
-  resolution: "@babel/core@npm:7.29.0"
-  dependencies:
-    "@babel/code-frame": "npm:^7.29.0"
-    "@babel/generator": "npm:^7.29.0"
-    "@babel/helper-compilation-targets": "npm:^7.28.6"
-    "@babel/helper-module-transforms": "npm:^7.28.6"
-    "@babel/helpers": "npm:^7.28.6"
-    "@babel/parser": "npm:^7.29.0"
-    "@babel/template": "npm:^7.28.6"
-    "@babel/traverse": "npm:^7.29.0"
-    "@babel/types": "npm:^7.29.0"
+  version: 7.29.7
+  resolution: "@babel/core@npm:7.29.7"
+  dependencies:
+    "@babel/code-frame": "npm:^7.29.7"
+    "@babel/generator": "npm:^7.29.7"
+    "@babel/helper-compilation-targets": "npm:^7.29.7"
+    "@babel/helper-module-transforms": "npm:^7.29.7"
+    "@babel/helpers": "npm:^7.29.7"
+    "@babel/parser": "npm:^7.29.7"
+    "@babel/template": "npm:^7.29.7"
+    "@babel/traverse": "npm:^7.29.7"
+    "@babel/types": "npm:^7.29.7"
     "@jridgewell/remapping": "npm:^2.3.5"
     convert-source-map: "npm:^2.0.0"
     debug: "npm:^4.1.0"
     gensync: "npm:^1.0.0-beta.2"
     json5: "npm:^2.2.3"
     semver: "npm:^6.3.1"
-  checksum: 10c0/5127d2e8e842ae409e11bcbb5c2dff9874abf5415e8026925af7308e903f4f43397341467a130490d1a39884f461bc2b67f3063bce0be44340db89687fd852aa
+  checksum: 10c0/112fb09c24de7a1de64d1de2c31fe65c4e6af4cb2fb6e6d99ea5373e6fc51e75b88581c0efae4c4c68f119a02a988c7106e95011a41530a2fb8ed793c7eaa07b
   languageName: node
   linkType: hard
 
@@ -125,16 +125,29 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@babel/helper-compilation-targets@npm:^7.28.6":
-  version: 7.28.6
-  resolution: "@babel/helper-compilation-targets@npm:7.28.6"
+"@babel/generator@npm:^7.29.7, @babel/generator@npm:^7.29.8":
+  version: 7.29.8
+  resolution: "@babel/generator@npm:7.29.8"
+  dependencies:
+    "@babel/parser": "npm:^7.29.8"
+    "@babel/types": "npm:^7.29.8"
+    "@jridgewell/gen-mapping": "npm:^0.3.12"
+    "@jridgewell/trace-mapping": "npm:^0.3.28"
+    jsesc: "npm:^3.0.2"
+  checksum: 10c0/7b896696314a659652393b76d78276e236acd0f7fae40a9a1af7f01c76aeafc630dd0966aad6f9386d35d7c674a8e6e2d8e217c44d25fb11460e68afa9ba8441
+  languageName: node
+  linkType: hard
+
+"@babel/helper-compilation-targets@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-compilation-targets@npm:7.29.7"
   dependencies:
-    "@babel/compat-data": "npm:^7.28.6"
-    "@babel/helper-validator-option": "npm:^7.27.1"
+    "@babel/compat-data": "npm:^7.29.7"
+    "@babel/helper-validator-option": "npm:^7.29.7"
     browserslist: "npm:^4.24.0"
     lru-cache: "npm:^5.1.1"
     semver: "npm:^6.3.1"
-  checksum: 10c0/3fcdf3b1b857a1578e99d20508859dbd3f22f3c87b8a0f3dc540627b4be539bae7f6e61e49d931542fe5b557545347272bbdacd7f58a5c77025a18b745593a50
+  checksum: 10c0/4c15fd4c69a0a7047799a28a88460c19cede0a0ee8af994ea169114986f4af48b92c7393a4a3fee0456c11a656eece3448a6ed06354453d6c27cccf17195453b
   languageName: node
   linkType: hard
 
@@ -145,26 +158,33 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@babel/helper-module-imports@npm:^7.28.6":
-  version: 7.28.6
-  resolution: "@babel/helper-module-imports@npm:7.28.6"
+"@babel/helper-globals@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-globals@npm:7.29.7"
+  checksum: 10c0/f38417c40b1129a1b2b519ca961b9040c8827d1444fd74068702286b91b77089431dc76b6b9d5c1496e5da2a4f3ad329c6946e688ba3fa0d1d0b3d2b4f34f36a
+  languageName: node
+  linkType: hard
+
+"@babel/helper-module-imports@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-module-imports@npm:7.29.7"
   dependencies:
-    "@babel/traverse": "npm:^7.28.6"
-    "@babel/types": "npm:^7.28.6"
-  checksum: 10c0/b49d8d8f204d9dbfd5ac70c54e533e5269afb3cea966a9d976722b13e9922cc773a653405f53c89acb247d5aebdae4681d631a3ae3df77ec046b58da76eda2ac
+    "@babel/traverse": "npm:^7.29.7"
+    "@babel/types": "npm:^7.29.7"
+  checksum: 10c0/6adf60d97356027413342a092f818d9678c4f5caff716a33e3284b5ae14e47a9e88059d421dde4ee4894691260039a12602c0e7becadc175602194b40dfa345d
   languageName: node
   linkType: hard
 
-"@babel/helper-module-transforms@npm:^7.28.6":
-  version: 7.28.6
-  resolution: "@babel/helper-module-transforms@npm:7.28.6"
+"@babel/helper-module-transforms@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-module-transforms@npm:7.29.7"
   dependencies:
-    "@babel/helper-module-imports": "npm:^7.28.6"
-    "@babel/helper-validator-identifier": "npm:^7.28.5"
-    "@babel/traverse": "npm:^7.28.6"
+    "@babel/helper-module-imports": "npm:^7.29.7"
+    "@babel/helper-validator-identifier": "npm:^7.29.7"
+    "@babel/traverse": "npm:^7.29.7"
   peerDependencies:
     "@babel/core": ^7.0.0
-  checksum: 10c0/6f03e14fc30b287ce0b839474b5f271e72837d0cafe6b172d759184d998fbee3903a035e81e07c2c596449e504f453463d58baa65b6f40a37ded5bec74620b2b
+  checksum: 10c0/ee5a2172c24a42be696836f4b0d947489c9729d8adf5821885cf77d1ad5333e3c447368e9a71f67df1099570490553dccf9f888ef0a92a48aa63cb086bd8c7e1
   languageName: node
   linkType: hard
 
@@ -175,6 +195,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/helper-string-parser@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-string-parser@npm:7.29.7"
+  checksum: 10c0/194bc0f1716e396d5ffde56ad6119745fb9557662c98611590e5e454906783a4ccb21ce93056b8eb69a4909044834e45d96e50ac695bbe9e3221648fe033c06c
+  languageName: node
+  linkType: hard
+
 "@babel/helper-validator-identifier@npm:^7.28.5":
   version: 7.28.5
   resolution: "@babel/helper-validator-identifier@npm:7.28.5"
@@ -189,20 +216,20 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@babel/helper-validator-option@npm:^7.27.1":
-  version: 7.27.1
-  resolution: "@babel/helper-validator-option@npm:7.27.1"
-  checksum: 10c0/6fec5f006eba40001a20f26b1ef5dbbda377b7b68c8ad518c05baa9af3f396e780bdfded24c4eef95d14bb7b8fd56192a6ed38d5d439b97d10efc5f1a191d148
+"@babel/helper-validator-option@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helper-validator-option@npm:7.29.7"
+  checksum: 10c0/d2a06c6d0ac40ba4a2f219fc2cab249c7a94bacdb2686273b7f9598571c908809b48468ff588915a346e6cc7296f60b581023d1d498b747fed06f779d335c2cc
   languageName: node
   linkType: hard
 
-"@babel/helpers@npm:^7.28.6":
-  version: 7.29.2
-  resolution: "@babel/helpers@npm:7.29.2"
+"@babel/helpers@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/helpers@npm:7.29.7"
   dependencies:
-    "@babel/template": "npm:^7.28.6"
-    "@babel/types": "npm:^7.29.0"
-  checksum: 10c0/dab0e65b9318b2502a62c58bc0913572318595eec0482c31f0ad416b72636e6698a1d7c57cd2791d4528eb8c548bca88d338dc4d2a55a108dc1f6702f9bc5512
+    "@babel/template": "npm:^7.29.7"
+    "@babel/types": "npm:^7.29.7"
+  checksum: 10c0/218e8d10953647c9f44775f5a022b227a182674853b5ea8631889deb7e1a3e4bc870388aaecf59bb8bd92a87f9a96220ed3f70a35bffec6bcf9169ecb67891ac
   languageName: node
   linkType: hard
 
@@ -217,6 +244,17 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/parser@npm:^7.29.7, @babel/parser@npm:^7.29.8":
+  version: 7.29.8
+  resolution: "@babel/parser@npm:7.29.8"
+  dependencies:
+    "@babel/types": "npm:^7.29.8"
+  bin:
+    parser: ./bin/babel-parser.js
+  checksum: 10c0/acc890c5e6a6dd40863a47b50bac111d7185ee6fbbe163ebe11d5214854ca2adb901462ad4d718a65090ef84bd2230e9e8ab45a2e0caccc685f1f57ab0bb1e28
+  languageName: node
+  linkType: hard
+
 "@babel/runtime@npm:^7.12.5":
   version: 7.29.7
   resolution: "@babel/runtime@npm:7.29.7"
@@ -235,7 +273,18 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@babel/traverse@npm:^7.28.0, @babel/traverse@npm:^7.28.6, @babel/traverse@npm:^7.29.0":
+"@babel/template@npm:^7.29.7":
+  version: 7.29.7
+  resolution: "@babel/template@npm:7.29.7"
+  dependencies:
+    "@babel/code-frame": "npm:^7.29.7"
+    "@babel/parser": "npm:^7.29.7"
+    "@babel/types": "npm:^7.29.7"
+  checksum: 10c0/8bb7f900dcab0e9e1c5ffbc33ca10e0d26b7b2e2ca804becb73ee771b9c4ed6e2908a4ae4a14c08560febb45d2b6b9a173955e42ad404d05f8b04840a14d9c58
+  languageName: node
+  linkType: hard
+
+"@babel/traverse@npm:^7.28.0":
   version: 7.29.0
   resolution: "@babel/traverse@npm:7.29.0"
   dependencies:
@@ -250,6 +299,21 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/traverse@npm:^7.29.7":
+  version: 7.29.8
+  resolution: "@babel/traverse@npm:7.29.8"
+  dependencies:
+    "@babel/code-frame": "npm:^7.29.7"
+    "@babel/generator": "npm:^7.29.8"
+    "@babel/helper-globals": "npm:^7.29.7"
+    "@babel/parser": "npm:^7.29.8"
+    "@babel/template": "npm:^7.29.7"
+    "@babel/types": "npm:^7.29.8"
+    debug: "npm:^4.3.1"
+  checksum: 10c0/87a28989c434add26d787776ac6d30f749b89cb030f2a605c89f671a516a6fa165ac0476f07e2b69feed70128b2734cae1cbbf41dfe95ccf22081bd8f8b91923
+  languageName: node
+  linkType: hard
+
 "@babel/types@npm:^7.0.0, @babel/types@npm:^7.20.7, @babel/types@npm:^7.28.2, @babel/types@npm:^7.28.6, @babel/types@npm:^7.29.0":
   version: 7.29.0
   resolution: "@babel/types@npm:7.29.0"
@@ -260,14 +324,24 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@braintree/sanitize-url@npm:^7.1.1":
+"@babel/types@npm:^7.29.7, @babel/types@npm:^7.29.8":
+  version: 7.29.8
+  resolution: "@babel/types@npm:7.29.8"
+  dependencies:
+    "@babel/helper-string-parser": "npm:^7.29.7"
+    "@babel/helper-validator-identifier": "npm:^7.29.7"
+  checksum: 10c0/be7c279f0abf2a086c633e21b49c7ca80275d05283cc5a268b67a708c9914bd0c944f1422b3eb3cb37682a2af5d560abf520ccf9b01b53ecbfe6b71fbc3fdde6
+  languageName: node
+  linkType: hard
+
+"@braintree/sanitize-url@npm:^7.1.2":
   version: 7.1.2
   resolution: "@braintree/sanitize-url@npm:7.1.2"
   checksum: 10c0/62f2aa0cf58626e3880b2dc1025c42064b4639abd157ae4e1c35f4c2f5031e9273772046a423979845069c814e27ff818e8e669280dc53585e6f033d5b7a59cb
   languageName: node
   linkType: hard
 
-"@chevrotain/types@npm:~11.1.1":
+"@chevrotain/types@npm:~11.1.2":
   version: 11.1.2
   resolution: "@chevrotain/types@npm:11.1.2"
   checksum: 10c0/c0c4679a3d407df34e18d5adfa7ac599b4a2bfddbf68da6e43678b9b3e16ab911de7766b37b9fc466261c3dead3db1b620e2e344f800fa9f0f381720475eda8f
@@ -1204,12 +1278,12 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@mermaid-js/parser@npm:^1.1.1":
-  version: 1.1.1
-  resolution: "@mermaid-js/parser@npm:1.1.1"
+"@mermaid-js/parser@npm:^1.2.1":
+  version: 1.2.1
+  resolution: "@mermaid-js/parser@npm:1.2.1"
   dependencies:
-    "@chevrotain/types": "npm:~11.1.1"
-  checksum: 10c0/66414d9d66f3a86a6751427cb8890a00beaaee2b7eba34c21b34b60cdaf9237d21e9b50b9bf1f560a01a600ee332d33b949fd8f12cbda3238aba50edc0dfdf15
+    "@chevrotain/types": "npm:~11.1.2"
+  checksum: 10c0/a28e72f874670accb15e057b1802ac917f5d80d3e9b4be9a5094833ee0239d1290ff31c2d50236e909cbd42bea4550c7872d2bfcec0bc0588df6e34ba5dc0498
   languageName: node
   linkType: hard
 
@@ -3572,21 +3646,21 @@ __metadata:
   linkType: hard
 
 "brace-expansion@npm:^1.1.7":
-  version: 1.1.14
-  resolution: "brace-expansion@npm:1.1.14"
+  version: 1.1.18
+  resolution: "brace-expansion@npm:1.1.18"
   dependencies:
     balanced-match: "npm:^1.0.0"
     concat-map: "npm:0.0.1"
-  checksum: 10c0/b6fdac832bc4e36a753658c9ed052c2e1a2be221763b002df25d1efbf7d21724334e726a6cd5eadc72a4b19ec3efb632d629cc003bc9c62f7af7a7915ffa4385
+  checksum: 10c0/3432c18a9e2ebf94162d4effb62198bd0adea06a9f332b2c0188df5d5e30b1e51ea3c848b6608e47d0b857ebe1ea5b3888ed3326dd3c4f6f9645c94153cf9c14
   languageName: node
   linkType: hard
 
 "brace-expansion@npm:^5.0.5":
-  version: 5.0.6
-  resolution: "brace-expansion@npm:5.0.6"
+  version: 5.0.9
+  resolution: "brace-expansion@npm:5.0.9"
   dependencies:
     balanced-match: "npm:^4.0.2"
-  checksum: 10c0/8c919869b90f61d533b341d3340be5ee4413232ea89b8246cbc2f38eb014f1d8182785c98a006eaf6111d02dc9eeffefdc240d5ac158625b2ed084dccd4bbf9b
+  checksum: 10c0/3dea38884a1c3c8b1c9c44a7402a0c76fca460f70cffb3127242b0b4cbf4472019e022ade021eec44838ff19f1dac2625dfd11dd459d7e1e055b0698a8d52fec
   languageName: node
   linkType: hard
 
@@ -3930,10 +4004,10 @@ __metadata:
   languageName: node
   linkType: hard
 
-"cytoscape@npm:^3.33.1":
-  version: 3.33.3
-  resolution: "cytoscape@npm:3.33.3"
-  checksum: 10c0/f0d01f682d3e443cbeea9aa294ccd6934442362df3ce259e7b0fe3b9a8ce534d901840c503db8b53da814542bc1508f7f14a69e4fe725f919c25483a7200efe7
+"cytoscape@npm:^3.34.0":
+  version: 3.34.1
+  resolution: "cytoscape@npm:3.34.1"
+  checksum: 10c0/1fefc274d8fbbb59273606d71e7875bfe6d7b7f3cafbd5af0083b1b19a431af93440c7273c0896ce5002ccdd54e28cfa4b0d54638017c69ebba0c1860a1c282b
   languageName: node
   linkType: hard
 
@@ -4340,10 +4414,10 @@ __metadata:
   languageName: node
   linkType: hard
 
-"dayjs@npm:^1.11.19":
-  version: 1.11.20
-  resolution: "dayjs@npm:1.11.20"
-  checksum: 10c0/8af525e2aa100c8db9923d706c42b2b2d30579faf89456619413a5c10916efc92c2b166e193c27c02eb3174b30aa440ee1e7b72b0a2876b3da651d204db848a0
+"dayjs@npm:^1.11.21":
+  version: 1.11.23
+  resolution: "dayjs@npm:1.11.23"
+  checksum: 10c0/69ab04bf19c676e44ab50cc2fca223d265f3dafd107151ef3b0f3ad74d360c37caa602abe62f87cb25d90bd9f6bee003698af47df5b0dbf10a998b7b5f3bb3f1
   languageName: node
   linkType: hard
 
@@ -4528,15 +4602,15 @@ __metadata:
   languageName: node
   linkType: hard
 
-"dompurify@npm:^3.3.1":
-  version: 3.4.2
-  resolution: "dompurify@npm:3.4.2"
+"dompurify@npm:^3.3.3":
+  version: 3.4.14
+  resolution: "dompurify@npm:3.4.14"
   dependencies:
     "@types/trusted-types": "npm:^2.0.7"
   dependenciesMeta:
     "@types/trusted-types":
       optional: true
-  checksum: 10c0/23ab3ab079480a49e1426c4ee7279e393913fa7f2193c4142a5be54d4163dbdd969558675876c6b8bbcbf2ad5d1bc3e00bf902acf142fff12e50274a65ae95b3
+  checksum: 10c0/feca07ece3805d1d4e33e847c11196888dcdc97b2afe0bb8a2fd11de4e62bfdc434c2403ee3fb3c7771e903325041d062febec6c5518796391fdc0419a90a873
   languageName: node
   linkType: hard
 
@@ -5366,6 +5440,15 @@ __metadata:
   languageName: node
   linkType: hard
 
+"fastdom@npm:1.0.12":
+  version: 1.0.12
+  resolution: "fastdom@npm:1.0.12"
+  dependencies:
+    strictdom: "npm:^1.0.1"
+  checksum: 10c0/d1727eb5d803aa0e1dc9a98b2eef1f138bad3776fa7471145216dba34f435f86e8e514658d0b1717fa83a987f44a8d26f2353a515f2bf782f32d3c9ead6d1994
+  languageName: node
+  linkType: hard
+
 "fastq@npm:^1.6.0":
   version: 1.20.1
   resolution: "fastq@npm:1.20.1"
@@ -6460,25 +6543,25 @@ __metadata:
   linkType: hard
 
 "js-yaml@npm:^3.13.1":
-  version: 3.14.2
-  resolution: "js-yaml@npm:3.14.2"
+  version: 3.15.1
+  resolution: "js-yaml@npm:3.15.1"
   dependencies:
     argparse: "npm:^1.0.7"
     esprima: "npm:^4.0.0"
   bin:
     js-yaml: bin/js-yaml.js
-  checksum: 10c0/3261f25912f5dd76605e5993d0a126c2b6c346311885d3c483706cd722efe34f697ea0331f654ce27c00a42b426e524518ec89d65ed02ea47df8ad26dcc8ce69
+  checksum: 10c0/6c693b8c59ffe12021df3b36994b090df19d920826dd810baab81652b40861e1974509dd11fe92225ab4c00cc14de053300c94db015c2c0e211edea39b118737
   languageName: node
   linkType: hard
 
 "js-yaml@npm:^4.1.1":
-  version: 4.1.1
-  resolution: "js-yaml@npm:4.1.1"
+  version: 4.3.1
+  resolution: "js-yaml@npm:4.3.1"
   dependencies:
     argparse: "npm:^2.0.1"
   bin:
     js-yaml: bin/js-yaml.js
-  checksum: 10c0/561c7d7088c40a9bb53cc75becbfb1df6ae49b34b5e6e5a81744b14ae8667ec564ad2527709d1a6e7d5e5fa6d483aa0f373a50ad98d42fde368ec4a190d4fae7
+  checksum: 10c0/13c500ca322e0c3f8c81686e6ecda96d2ea37b45247a420c17c7db36932d6965cc27391abc2d1a104501600e7f0d947a5f8b7be6db619c4fefa87901b3512807
   languageName: node
   linkType: hard
 
@@ -6573,14 +6656,14 @@ __metadata:
   languageName: node
   linkType: hard
 
-"katex@npm:^0.16.25":
-  version: 0.16.45
-  resolution: "katex@npm:0.16.45"
+"katex@npm:^0.16.47":
+  version: 0.16.47
+  resolution: "katex@npm:0.16.47"
   dependencies:
     commander: "npm:^8.3.0"
   bin:
     katex: cli.js
-  checksum: 10c0/f715eb9a73daff68ac14dcc8c2f47f02f5fc756a74077d22479e64e06872b2b44f0d81f1c91a98a9873722a08841388a869a0b9ddb96b224362eb8054ddf533a
+  checksum: 10c0/b10f4d0651c60771a48444879e4227255e26e2b2ec061b1ee4b08934863ad2324ba8dbb772455f7768aeb14dfcc13bcd309174a0ddd5ef954a607f644a197710
   languageName: node
   linkType: hard
 
@@ -7246,31 +7329,32 @@ __metadata:
   linkType: hard
 
 "mermaid@npm:^11.0.0":
-  version: 11.15.0
-  resolution: "mermaid@npm:11.15.0"
+  version: 11.17.0
+  resolution: "mermaid@npm:11.17.0"
   dependencies:
-    "@braintree/sanitize-url": "npm:^7.1.1"
+    "@braintree/sanitize-url": "npm:^7.1.2"
     "@iconify/utils": "npm:^3.0.2"
-    "@mermaid-js/parser": "npm:^1.1.1"
+    "@mermaid-js/parser": "npm:^1.2.1"
     "@types/d3": "npm:^7.4.3"
     "@upsetjs/venn.js": "npm:^2.0.0"
-    cytoscape: "npm:^3.33.1"
+    cytoscape: "npm:^3.34.0"
     cytoscape-cose-bilkent: "npm:^4.1.0"
     cytoscape-fcose: "npm:^2.2.0"
     d3: "npm:^7.9.0"
     d3-sankey: "npm:^0.12.3"
     dagre-d3-es: "npm:7.0.14"
-    dayjs: "npm:^1.11.19"
-    dompurify: "npm:^3.3.1"
+    dayjs: "npm:^1.11.21"
+    dompurify: "npm:^3.3.3"
     es-toolkit: "npm:^1.45.1"
-    katex: "npm:^0.16.25"
+    fastdom: "npm:1.0.12"
+    katex: "npm:^0.16.47"
     khroma: "npm:^2.1.0"
     marked: "npm:^16.3.0"
     roughjs: "npm:^4.6.6"
     stylis: "npm:^4.3.6"
     ts-dedent: "npm:^2.2.0"
     uuid: "npm:^11.1.0 || ^12 || ^13 || ^14.0.0"
-  checksum: 10c0/9085b47c30b66a1e94e07c93951d9e53e5c89ec8c9fff8814233bddeecf6b8eaf9036d3168e4d1360c3f5d07cd051c666da96860eb0f22f064bd749499a0c83f
+  checksum: 10c0/43c9a51bb93482cf882119595828900567a737401ad52b91c6fd415f839302b56080102376536cbb285d7aad3eb31b101e92e18d604647915195c1e10b879ec5
   languageName: node
   linkType: hard
 
@@ -9522,6 +9606,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"strictdom@npm:^1.0.1":
+  version: 1.0.1
+  resolution: "strictdom@npm:1.0.1"
+  checksum: 10c0/3006ffccaa89ecc0ce2679d2726b7ea4901faa91152bf0211d11685de1c710f09a178c9dbc5ab1496e6101b686192595ff2aa78f128a814fd838793e4f29edc5
+  languageName: node
+  linkType: hard
+
 "string.prototype.includes@npm:^2.0.1":
   version: 2.0.1
   resolution: "string.prototype.includes@npm:2.0.1"
@@ -9752,15 +9843,15 @@ __metadata:
   linkType: hard
 
 "tar@npm:^7.5.4":
-  version: 7.5.15
-  resolution: "tar@npm:7.5.15"
+  version: 7.5.22
+  resolution: "tar@npm:7.5.22"
   dependencies:
     "@isaacs/fs-minipass": "npm:^4.0.0"
     chownr: "npm:^3.0.0"
     minipass: "npm:^7.1.2"
     minizlib: "npm:^3.1.0"
     yallist: "npm:^5.0.0"
-  checksum: 10c0/8f039edb1d12fdd7df6c6f9877d125afe9f3da3f5f9317df326fdd090d48793d6998cede1506a1471f3e3a250db270a89dace28005eb5e99c5a9132d704ac956
+  checksum: 10c0/1311f6be85a8157ac4c9147bae43e13923d2a1aae15e4aa1bd5239e4e03d2cf53cfe103dde7f35832fbb4c938b042856bc8e9a0afd29abd05e2d1608788c4fea
   languageName: node
   linkType: hard
 
@@ -10012,9 +10103,9 @@ __metadata:
   linkType: hard
 
 "undici@npm:^6.25.0":
-  version: 6.25.0
-  resolution: "undici@npm:6.25.0"
-  checksum: 10c0/2597cc6689bdb02c210c557b1f85febbfda65becae6e6fc1061508e2f33734d25207f81cd8af56ada9956329eb3a7bd7431e87dcfeceba20ee87059b57dcf985
+  version: 6.28.0
+  resolution: "undici@npm:6.28.0"
+  checksum: 10c0/3029a70df06b38b5b2f30732932a1e92544c753cd82c8abdf0d35afad48e0ba91612e79fe3a442dbbb9434d6a9eba2b714d5ea28984c903dda2b5d5444f38354
   languageName: node
   linkType: hard