Add app-server startup benchmark crate (#24651)

## Summary
- Add a new `app-server-start-bench` crate to measure app-server startup
performance
- Wire the benchmark into the workspace and Bazel build so it can be run
consistently
- Update lockfiles and repo automation to account for the new package

.github/workflows/rust-ci-full.yml

@@ -466,6 +466,13 @@ jobs:
       - name: cargo clippy
         run: cargo clippy --target ${{ matrix.target }} --tests --profile ${{ matrix.profile }} --timings -- -D warnings
 
+      - uses: taiki-e/install-action@44c6d64aa62cd779e873306675c7a58e86d6d532 # v2.62.49
+        with:
+          tool: just
+
+      - name: End-to-end benchmark smoke test
+        run: just bench-e2e-smoke
+
       - name: Upload Cargo timings (clippy)
         if: always()
         uses: actions/upload-artifact@bbbca2ddaa5d8feaa63e36b76fdaad77386f024f # v7.0.0