feat: Playnite library sync plugin + exporter

A two-part Punktfunk plugin that syncs the Playnite library into the host
game library as the `playnite` provider:

- exporter/ — a minimal C# Playnite GenericPlugin ("Punktfunk Sync") that
  writes punktfunk-library.json on every library change. Reading Playnite's
  live-locked LiteDB from outside isn't robust, so this adapter runs inside
  Playnite. Builds net462 via reference assemblies; packaged as a .pext.
- src/ — the TS plugin (on @punktfunk/host, rom-manager shape): watches the
  export, embeds covers as data URLs, reconciles via
  PUT /library/provider/playnite, with a console-hosted web UI + standalone
  fallback + CLI. Launch = playnite://playnite/start/<id>, run by the host
  in the interactive session so Playnite performs the real launch.

Verified locally: backend tsc + 23 tests + biome clean, SPA build, C#
exporter build + .pext pack.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

ui/tsconfig.json

@@ -0,0 +1,15 @@
+{
+	"compilerOptions": {
+		"target": "ES2022",
+		"lib": ["ES2022", "DOM", "DOM.Iterable"],
+		"module": "ESNext",
+		"moduleResolution": "bundler",
+		"jsx": "react-jsx",
+		"strict": true,
+		"noUnusedLocals": true,
+		"skipLibCheck": true,
+		"noEmit": true,
+		"types": []
+	},
+	"include": ["src", "vite.config.ts"]
+}