Add initial typescript config and use it for eslint,vitest,playwright (#31186)

This enables eslint to use the typescript parser and resolver which
brings some benefits that eslint rules now have type information
available and a tsconfig.json is required for the upcoming typescript
migration as well. Notable changes done:

- Add typescript parser and resolver
- Move the vue-specific config into the root file
- Enable `vue-scoped-css/enforce-style-type` rule, there was only one
violation and I added a inline disable there.
- Fix new lint errors that were detected because of the parser change
- Update `i/no-unresolved` to remove now-unnecessary workaround for the
resolver
- Disable `i/no-named-as-default` as it seems to raise bogus issues in
the webpack config
- Change vitest config to typescript
- Change playwright config to typescript
- Add `eslint-plugin-playwright` and fix issues
- Add `tsc` linting to `make lint-js`

tests/e2e/example.test.e2e.ts

@@ -0,0 +1,56 @@
+import {test, expect} from '@playwright/test';
+import {login_user, save_visual, load_logged_in_context} from './utils_e2e.ts';
+
+test.beforeAll(async ({browser}, workerInfo) => {
+  await login_user(browser, workerInfo, 'user2');
+});
+
+test('homepage', async ({page}) => {
+  const response = await page.goto('/');
+  await expect(response?.status()).toBe(200); // Status OK
+  await expect(page).toHaveTitle(/^Gitea: Git with a cup of tea\s*$/);
+  await expect(page.locator('.logo')).toHaveAttribute('src', '/assets/img/logo.svg');
+});
+
+test('register', async ({page}, workerInfo) => {
+  const response = await page.goto('/user/sign_up');
+  await expect(response?.status()).toBe(200); // Status OK
+  await page.type('input[name=user_name]', `e2e-test-${workerInfo.workerIndex}`);
+  await page.type('input[name=email]', `e2e-test-${workerInfo.workerIndex}@test.com`);
+  await page.type('input[name=password]', 'test123test123');
+  await page.type('input[name=retype]', 'test123test123');
+  await page.click('form button.ui.primary.button:visible');
+  // Make sure we routed to the home page. Else login failed.
+  await expect(page.url()).toBe(`${workerInfo.project.use.baseURL}/`);
+  await expect(page.locator('.secondary-nav span>img.ui.avatar')).toBeVisible();
+  await expect(page.locator('.ui.positive.message.flash-success')).toHaveText('Account was successfully created. Welcome!');
+
+  save_visual(page);
+});
+
+test('login', async ({page}, workerInfo) => {
+  const response = await page.goto('/user/login');
+  await expect(response?.status()).toBe(200); // Status OK
+
+  await page.type('input[name=user_name]', `user2`);
+  await page.type('input[name=password]', `password`);
+  await page.click('form button.ui.primary.button:visible');
+
+  await page.waitForLoadState('networkidle'); // eslint-disable-line playwright/no-networkidle
+
+  await expect(page.url()).toBe(`${workerInfo.project.use.baseURL}/`);
+
+  save_visual(page);
+});
+
+test('logged in user', async ({browser}, workerInfo) => {
+  const context = await load_logged_in_context(browser, workerInfo, 'user2');
+  const page = await context.newPage();
+
+  await page.goto('/');
+
+  // Make sure we routed to the home page. Else login failed.
+  await expect(page.url()).toBe(`${workerInfo.project.use.baseURL}/`);
+
+  save_visual(page);
+});