[SDK] Remove @atproto/api (#11386)

Co-authored-by: Claude Fable 5 <noreply@anthropic.com>

src/lib/constants.ts

@@ -1,8 +1,9 @@
 import {type Insets, Platform} from 'react-native'
-import {type AppBskyActorDefs, BSKY_LABELER_DID} from '@atproto/api'
 import {type Service} from '@atproto/lex'
+import {api} from '@bsky.app/sdk'
 
 import {BLUESKY_PROXY_DID, CHAT_PROXY_DID, IS_DEV} from '#/env'
+import {type app} from '#/lexicons'
 
 export const LOCAL_DEV_SERVICE =
   Platform.OS === 'android' ? 'http://10.0.2.2:2583' : 'http://localhost:2583'
@@ -173,7 +174,7 @@ export const VIDEO_SAVED_FEED = {
 }
 
 export const RECOMMENDED_SAVED_FEEDS: Pick<
-  AppBskyActorDefs.SavedFeed,
+  app.bsky.actor.defs.SavedFeed,
   'type' | 'value' | 'pinned'
 >[] = [DISCOVER_SAVED_FEED, TIMELINE_SAVED_FEED]
 
@@ -269,7 +270,7 @@ export const CHAT_PROXY_SERVICE: Service = `${CHAT_PROXY_DID}#bsky_chat`
  * that labeler's creator did instead, so this is a per-call option rather than a
  * client-level one like {@link CHAT_PROXY_SERVICE}.
  */
-export const MOD_PROXY_SERVICE: Service = `${BSKY_LABELER_DID}#atproto_labeler`
+export const MOD_PROXY_SERVICE: Service = `${api.moderation.did}#atproto_labeler`
 
 /**
  * The notification service's proxy target, in the `did#service_id` form a lex