refactor(web): consume api v1 contracts

apps/web_v1/src/api/search.ts

@@ -0,0 +1,20 @@
+import { apiRequest, type ApiSession } from './client'
+
+export type SearchResultDTO = {
+  type: 'project' | 'task' | 'note' | 'source' | 'inbox' | 'ai_session'
+  id: string
+  projectId: string
+  title: string
+  snippet: string
+}
+
+export type SearchResponseDTO = {
+  items: SearchResultDTO[]
+}
+
+const searchPath = '/api/v1/search'
+
+export async function searchWorkspace(session: ApiSession, query: string) {
+  const search = new URLSearchParams({ q: query })
+  return apiRequest<SearchResponseDTO>(`${searchPath}?${search.toString()}`, { token: session.token })
+}