ci: publish benchmarks to GH pages

Signed-off-by: Austin Vazquez <austin.vazquez@docker.com>

Author: austinvazquez

.github/workflows/benchmarks.yml

@@ -7,7 +7,8 @@ on:
     - cron: '0 0 * * *'
 
 permissions:
-  contents: read
+  contents: write
+  deployments: write
 
 jobs:
   setup:
@@ -131,3 +132,15 @@ jobs:
           echo '```' >> $GITHUB_STEP_SUMMARY
           grep -E '^(Benchmark|PASS|FAIL|ok|---)' /tmp/bench-output.txt >> $GITHUB_STEP_SUMMARY || true
           echo '```' >> $GITHUB_STEP_SUMMARY
+
+      - name: Store benchmark results
+        uses: benchmark-action/github-action-benchmark@a7bc2366eda11037936ea57d811a43b3418d3073  # v1.21.0
+        with:
+          name: 'Nerdbox Benchmarks'
+          tool: 'go'
+          benchmark-data-dir-path: "data/benchmarks/linux/${{ matrix.arch }}"
+          output-file-path: 'benchmark.json'
+          github-token: ${{ secrets.GITHUB_TOKEN }}
+
+      - name: Push benchmark result
+        run: git push 'https://github.com/containerd/nerdbox.git' ghpages:gh-pages