chore: Merge tsconfigs, typecheck ui as part of pnpm tsgo locally and on CI.

ui/tsconfig.json

@@ -1,17 +0,0 @@
-{
-  "compilerOptions": {
-    "target": "ES2022",
-    "module": "NodeNext",
-    "allowImportingTsExtensions": true,
-    "moduleResolution": "NodeNext",
-    "lib": ["ES2023", "DOM", "DOM.Iterable"],
-    "strict": true,
-    "noEmit": true,
-    "resolveJsonModule": true,
-    "experimentalDecorators": true,
-    "skipLibCheck": true,
-    "types": ["vite/client"],
-    "useDefineForClassFields": false
-  },
-  "include": ["src"]
-}