fix: resolve all TypeScript type errors

- Install missing comlink (was in lockfile but not node_modules)
- Add @ts-rest/core and @ts-rest/vue-query (imported but not declared as deps)
- Add declare module '*.vue' shim to shims-vue.d.ts
- Replace arktype validators in ts-rest contract with contract.type<T>() since @ts-rest expects Zod schemas

src/shims-vue.d.ts

@@ -1,3 +1,9 @@
+declare module '*.vue' {
+  import type { DefineComponent } from 'vue'
+  const component: DefineComponent<{}, {}, any>
+  export default component
+}
+
 declare module "pouchdb-adapter-indexeddb"
 declare module "@toycode/markdown-it-class"
 declare module "markdown-it-block-embed"