Clean up TUI package and refactor component structure

- Remove old TUI implementation and components (LoadingAnimation, MarkdownComponent, TextComponent, TextEditor, WhitespaceComponent)
- Rename components-new to components with new API (Loader, Markdown, Text, Editor, Spacer)
- Move Text and Input components to separate files in src/components/
- Add render caching to Text component (similar to Markdown)
- Add proper ANSI code handling in Text component using stripVTControlCharacters
- Update coding-agent to use new TUI API (requires ProcessTerminal, uses custom Editor subclass for key handling)
- Remove old test files, keep only chat-simple.ts and virtual-terminal.ts
- Update README.md with new minimal API documentation
- Switch from tsc to tsgo for type checking
- Update package dependencies across monorepo

packages/web-ui/example/package.json

@@ -6,7 +6,7 @@
     "dev": "vite",
     "build": "vite build",
     "preview": "vite preview",
-    "check": "tsc --noEmit"
+    "check": "tsgo --noEmit"
   },
   "dependencies": {
     "@mariozechner/mini-lit": "^0.1.7",