ci: migrate lint workflow from ESLint to Biome

Replace ESLint with Biome linter in CI workflow to align with project's
current linting configuration.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <[email protected]>

Author: ericyangpan

.github/workflows/ci.yml

@@ -27,8 +27,8 @@ jobs:
       - name: Install dependencies
         run: npm ci
 
-      - name: Run ESLint
-        run: npm run lint
+      - name: Run Biome check
+        run: npm run biome:check
 
   type-check:
     name: Type Check