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/proxy/package.json

@@ -12,7 +12,7 @@
 		"clean": "rm -rf dist",
 		"build": "tsc",
 		"check": "biome check --write .",
-		"typecheck": "tsc --noEmit",
+		"typecheck": "tsgo --noEmit",
 		"dev": "tsx src/cors-proxy.ts 3001"
 	},
 	"dependencies": {