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

dev/reformat

@@ -14,5 +14,8 @@ uv run --directory api --dev ruff format ./
 # run dotenv-linter linter
 uv run --project api --dev dotenv-linter ./api/.env.example ./web/.env.example
 
+# run ty check
+dev/ty-check
+
 # run mypy check
 dev/mypy-check

dev/ty-check

@@ -0,0 +1,10 @@
+#!/bin/bash
+
+set -x
+
+SCRIPT_DIR="$(dirname "$(realpath "$0")")"
+cd "$SCRIPT_DIR/.."
+
+# run ty checks
+uv run --directory api --dev \
+  ty check