chore: remove API and context-base

[dyladan]

Removes the API and context-base packages which have been moved to https://github.com/open-telemetry/opentelemetry-js-api

[codecov]

Codecov Report

Merging #1942 (9885bd0) into main (9a67045) will decrease coverage by 0.16%.
The diff coverage is n/a.

@@            Coverage Diff             @@
##             main    #1942      +/-   ##
==========================================
- Coverage   92.67%   92.50%   -0.17%     
==========================================
  Files         175      135      -40     
  Lines        6017     4988    -1029     
  Branches     1259     1045     -214     
==========================================
- Hits         5576     4614     -962     
+ Misses        441      374      -67     

Impacted Files	Coverage Δ
...emetry-core/src/platform/node/RandomIdGenerator.ts	87.50% <0.00%> (-6.25%)	⬇️
...etry-exporter-prometheus/src/PrometheusExporter.ts	90.66% <0.00%> (-1.34%)	⬇️
...ges/opentelemetry-instrumentation-http/src/http.ts	94.69% <0.00%> (-0.82%)	⬇️
...ry-context-zone-peer-dep/src/ZoneContextManager.ts
...ntelemetry-web/src/enums/PerformanceTimingNames.ts
...rumentation/src/platform/browser/old/autoLoader.ts
...kages/opentelemetry-web/src/StackContextManager.ts
...kages/opentelemetry-exporter-collector/src/util.ts
...ages/opentelemetry-exporter-collector/src/types.ts
...lemetry-exporter-collector/src/transformMetrics.ts
... and 6 more