Chore: Update eslint configuration (#224)

- Update missing dev dependencies
- Fix root .eslintrc.json and client and server versions
- Add lint.yaml workflow
- Remove babel settings
- Clean up and fix eslint and ts errors

.github/workflows/lint.yaml

@@ -0,0 +1,18 @@
+name: Lint
+
+on: [push, pull_request]
+
+jobs:
+  lint:
+    runs-on: macos-13
+    timeout-minutes: 8
+    steps:
+      - uses: actions/checkout@v4
+      - name: Use Node.js ${{ matrix.node-version }}
+        uses: actions/setup-node@v4
+        with:
+          node-version: 20
+      - name: Install packages
+        run: yarn install
+      - name: Run lint
+        run: yarn lint