Fix Lit dependency duplication and update mini-lit to 0.2.0

- Move lit from dependencies to peerDependencies in web-ui to prevent multiple Lit instances being loaded
- Update mini-lit from 0.1.8/0.1.10 to 0.2.0 in root package.json and web-ui/package.json
- Install @tailwindcss/vite in web-ui/example
- Run biome formatting fixes across codebase

This resolves HMR custom element re-registration errors caused by duplicate Lit registries.

packages/web-ui/package.json

@@ -22,17 +22,17 @@
 		"@mariozechner/pi-tui": "^0.6.0",
 		"docx-preview": "^0.3.7",
 		"jszip": "^3.10.1",
-		"lit": "^3.3.1",
 		"lucide": "^0.544.0",
 		"ollama": "^0.6.0",
 		"pdfjs-dist": "^5.4.296",
 		"xlsx": "https://cdn.sheetjs.com/xlsx-0.20.3/xlsx-0.20.3.tgz"
 	},
 	"peerDependencies": {
-		"@mariozechner/mini-lit": "^0.1.10"
+		"@mariozechner/mini-lit": "^0.2.0",
+		"lit": "^3.3.1"
 	},
 	"devDependencies": {
-		"@mariozechner/mini-lit": "^0.1.10",
+		"@mariozechner/mini-lit": "^0.2.0",
 		"@tailwindcss/cli": "^4.0.0-beta.14",
 		"concurrently": "^9.2.1",
 		"typescript": "^5.7.3"