prepare admin for astro: inject clientprovider props directly from admin component

app/src/ui/client/index.ts

@@ -1,4 +1,4 @@
-export { ClientProvider, useClient, useBaseUrl } from "./ClientProvider";
+export { ClientProvider, type ClientProviderProps, useClient, useBaseUrl } from "./ClientProvider";
 export { BkndProvider, useBknd } from "./BkndProvider";
 
 export { useAuth } from "./schema/auth/use-auth";