Extract client SDK package (#1052)

* Extract client SDK package

* Polish SDK client identity defaults

* Build client before dependent CI jobs

* Restore daemon client server export

* Extract protocol and client SDK packages

* Fix provider override schema validation

* Fix app test daemon client imports

* Simplify workspace build targets

* Fix CLI test server build bootstrap

* Run SDK package tests in CI

* Fix rebase package split drift

* Restore lockfile registry metadata

* Update SDK config test for prompt default

* Move terminal stream router test to client package

* Fix rebase drift for protocol imports

* Fix SDK agent capability fixture

* Restore legacy server client exports

* Fix server export compatibility test

* Advertise custom mode icon client capability

* Remove server daemon-client exports

* Format rebased mode control import

* Fix rebase drift for protocol imports

Files added by upstream PRs (#893, #1147, #1154) referenced the pre-split
shared/ paths that this branch moves into @getpaseo/protocol. Redirect
those imports to the protocol package so typecheck stays green after the
rebase.

packages/app/src/hooks/use-push-token-registration.ts

@@ -3,7 +3,7 @@ import { Platform } from "react-native";
 import AsyncStorage from "@react-native-async-storage/async-storage";
 import * as Notifications from "expo-notifications";
 import Constants from "expo-constants";
-import type { DaemonClient } from "@server/client/daemon-client";
+import type { DaemonClient } from "@getpaseo/client/internal/daemon-client";
 import { isWeb } from "@/constants/platform";
 
 const STORAGE_PREFIX = "@paseo:expo-push-token:";