API client, auth bootstrap and job polling (#42)

Co-authored-by: dev_agent <dev_agent@cubecraftlabs.com>
Co-committed-by: dev_agent <dev_agent@cubecraftlabs.com>

web/src/api/ApiContext.tsx

@@ -0,0 +1,15 @@
+import { createContext, useContext, type ReactNode } from 'react'
+import type { ApiClient } from './client.ts'
+
+const ApiContext = createContext<ApiClient | null>(null)
+
+export function ApiProvider({ client, children }: { client: ApiClient; children: ReactNode }) {
+  return <ApiContext.Provider value={client}>{children}</ApiContext.Provider>
+}
+
+// useApi returns the app's API client. It must be rendered inside ApiProvider.
+export function useApi(): ApiClient {
+  const client = useContext(ApiContext)
+  if (client === null) throw new Error('useApi: no ApiProvider above this component')
+  return client
+}