Update benchmark workflow to collect results

Author: kzu

.github/workflows/update.yml renamed to .github/workflows/benchmark.yml

@@ -1,4 +1,4 @@
-name: Update Benchmarks
+name: Benchmark
 on:
   workflow_dispatch:
   schedule:

.github/workflows/benchmarks.yml

@@ -0,0 +1,29 @@
+name: Benchmark
+on:
+  workflow_dispatch:
+  push:
+    branches:
+      - main
+    paths:
+      - 'src/AI.Benchmarks/BenchmarkDotNet.Artifacts/results/AI.Benchmarks.ModelPerformance-report-full-compressed.json'
+jobs:
+  benchmark:
+    runs-on: ubuntu-latest
+    permissions:
+      # deployments permission to deploy GitHub pages website
+      deployments: write
+      # contents permission to update benchmark contents in gh-pages branch
+      contents: write
+    steps:
+      - uses: actions/checkout@v4
+      - uses: actions/setup-go@v4
+        with:
+          go-version: "stable"
+      # gh-pages branch is updated and pushed automatically with extracted benchmark data
+      - uses: benchmark-action/github-action-benchmark@v1
+        with:
+          tool: 'benchmarkdotnet'
+          output-file-path: 'src/AI.Benchmarks/BenchmarkDotNet.Artifacts/results/AI.Benchmarks.ModelPerformance-report-full-compressed.json'
+          github-token: ${{ secrets.GITHUB_TOKEN }}
+          # Push and deploy GitHub pages branch automatically
+          auto-push: true