ci: Use the rpf3 bot to commit version changes

This commit updates the release action configuration to use a personal
GitHub App to checkout and commit changes to the repository. This App
has access to the repository's protected branches through a bypass on
the protection rule.

Author: Richard P. Field III

.github/workflows/release.yml

@@ -3,7 +3,7 @@ name: Package Release
 on:
   push:
     branches:
-      - main
+      - action
 
 jobs:
   npm-package:
@@ -12,10 +12,18 @@ jobs:
     permissions:
       contents: write
     steps:
+      - name: Create bot access token
+        id: app-token
+        uses: actions/create-github-app-token@v1
+        with:
+          app-id: ${{ vars.RPF3_BOT_APP_ID }}
+          private-key: ${{ secrets.RPF3_BOT_PRIVATE_KEY }}
+
       - name: Checkout the repository
         uses: actions/checkout@v3
         with:
           fetch-depth: 0
+          token: ${{ steps.app-token.outputs.token }}
 
       - name: Install GitVersion
         uses: gittools/actions/gitversion/setup@v0