chore: apply ty checks on api code with script and ci action (#24653)

.github/workflows/api-tests.yml

@@ -42,11 +42,7 @@ jobs:
       - name: Run Unit tests
         run: |
           uv run --project api bash dev/pytest/pytest_unit_tests.sh
-      - name: Run ty check
-        run: |
-          cd api
-          uv add --dev ty
-          uv run ty check || true
+
       - name: Run pyrefly check
         run: |
           cd api

.github/workflows/style.yml

@@ -44,6 +44,9 @@ jobs:
         if: steps.changed-files.outputs.any_changed == 'true'
         run: uv sync --project api --dev
 
+      - name: Run ty check
+        run: dev/ty-check
+
       - name: Dotenv check
         if: steps.changed-files.outputs.any_changed == 'true'
         run: uv run --project api dotenv-linter ./api/.env.example ./web/.env.example