feat: add minimum API and web GUI

apps/web/tsconfig.json

@@ -0,0 +1,10 @@
+{
+  "extends": "../../tsconfig.base.json",
+  "compilerOptions": {
+    "emitDeclarationOnly": true,
+    "lib": ["ES2022", "DOM", "DOM.Iterable"],
+    "outDir": "dist",
+    "types": ["vite/client", "vitest"]
+  },
+  "include": ["src/**/*.ts", "vite.config.ts"]
+}