Enable Typecheck on CI

### Problem Details

In Vitest version 1.x, running the following command for typecheck tests causes the process to hang, preventing the tests from completing successfully:

```bash
vitest --typecheck
```
As a result, typecheck tests are currently skipped in the CI environment.

### Local Confirmation

Testing with Vitest version 2.x and above locally confirms that the typecheck tests run successfully without hanging.

### Proposed Solution

I propose adding a test:type job to the scripts section of the package.json, which will run typecheck tests using Vitest 2.x and above in the CI environment.

```json
"scripts": {
"test:type": "vitest --typecheck.only"
}
```
This will ensure that typecheck tests are automatically run in the CI environment, helping to maintain type safety.