refactor: use bun in Dockerfile and CI workflow

.github/workflows/ci-checks.yml

@@ -11,18 +11,26 @@ jobs:
       - name: Checkout
         uses: actions/checkout@v3
 
+      - uses: oven-sh/setup-bun@v2
+        with:
+          bun-version: 1.3.14
+
+      # Jest still runs on Node until tests move to `bun test`
       - uses: actions/setup-node@v3
         with:
           node-version: 20
 
       - name: Install dependencies
-        run: yarn install
+        run: bun install --frozen-lockfile
+
+      - name: Type check
+        run: bun run type-check
 
       - name: Build
-        run: yarn build
+        run: bun run build
 
       - name: Lint
-        run: yarn lint
+        run: bun run lint
 
       - name: Test
-        run: yarn test
+        run: bun run test