Fix remaining typescript issues, enable tsc (#32840)

Fixes 79 typescript errors. Discovered at least two bugs in
`notifications.ts`, and I'm pretty sure this feature was at least
partially broken and may still be, I don't really know how to test it.

After this, only like ~10 typescript errors remain in the codebase but
those are harder to solve.

---------

Co-authored-by: wxiaoguang <wxiaoguang@gmail.com>

package.json

@@ -66,6 +66,7 @@
   "devDependencies": {
     "@eslint-community/eslint-plugin-eslint-comments": "4.4.1",
     "@playwright/test": "1.49.0",
+    "@silverwind/vue-tsc": "2.1.13",
     "@stoplight/spectral-cli": "6.14.2",
     "@stylistic/eslint-plugin-js": "2.11.0",
     "@stylistic/stylelint-plugin": "3.1.1",
@@ -110,8 +111,7 @@
     "type-fest": "4.30.0",
     "updates": "16.4.0",
     "vite-string-plugin": "1.3.4",
-    "vitest": "2.1.8",
-    "vue-tsc": "2.1.10"
+    "vitest": "2.1.8"
   },
   "browserslist": [
     "defaults"