[Chore/Refactor] Improve type checking configuration (#25185)

Co-authored-by: autofix-ci[bot] <114827586+autofix-ci[bot]@users.noreply.github.com>

.github/workflows/style.yml

@@ -48,6 +48,10 @@ jobs:
         if: steps.changed-files.outputs.any_changed == 'true'
         run: dev/basedpyright-check
 
+      - name: Run Mypy Type Checks
+        if: steps.changed-files.outputs.any_changed == 'true'
+        run: uv --directory api run mypy --exclude-gitignore --exclude 'tests/' --exclude 'migrations/' --check-untyped-defs --disable-error-code=import-untyped .
+
       - name: Dotenv check
         if: steps.changed-files.outputs.any_changed == 'true'
         run: uv run --project api dotenv-linter ./api/.env.example ./web/.env.example