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

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

src/lib/api/feed/home.ts

@@ -1,8 +1,8 @@
-import {type AppBskyFeedDefs} from '@atproto/api'
 import {type Client} from '@atproto/lex'
 import {type AtUriString} from '@atproto/syntax'
 
 import {PROD_DEFAULT_FEED} from '#/lib/constants'
+import {type app} from '#/lexicons'
 import {CustomFeedAPI} from './custom'
 import {FollowingFeedAPI} from './following'
 import {type FeedAPI, type FeedAPIResponse} from './types'
@@ -15,7 +15,12 @@ import {type FeedAPI, type FeedAPIResponse} from './types'
 // we use this fallback marker post to drive this instead. see Feed.tsx
 // for the usage.
 // -prf
-export const FALLBACK_MARKER_POST: AppBskyFeedDefs.FeedViewPost = {
+/*
+ * A synthetic marker, not a real view: its `uri`/`did`/`indexedAt` are
+ * deliberately not well-formed, so the literal is asserted rather than branded.
+ * Only `post.uri` is ever read (see Feed.tsx).
+ */
+export const FALLBACK_MARKER_POST = {
   post: {
     uri: 'fallback-marker-post',
     cid: 'fake',
@@ -26,7 +31,7 @@ export const FALLBACK_MARKER_POST: AppBskyFeedDefs.FeedViewPost = {
     },
     indexedAt: new Date().toISOString(),
   },
-}
+} as unknown as app.bsky.feed.defs.FeedViewPost
 
 export class HomeFeedAPI implements FeedAPI {
   client: Client
@@ -63,7 +68,7 @@ export class HomeFeedAPI implements FeedAPI {
     this.itemCursor = 0
   }
 
-  async peekLatest(): Promise<AppBskyFeedDefs.FeedViewPost> {
+  async peekLatest(): Promise<app.bsky.feed.defs.FeedViewPost> {
     if (this.usingDiscover) {
       return this.discover.peekLatest()
     }
@@ -82,7 +87,7 @@ export class HomeFeedAPI implements FeedAPI {
     }
 
     let returnCursor
-    let posts: AppBskyFeedDefs.FeedViewPost[] = []
+    let posts: app.bsky.feed.defs.FeedViewPost[] = []
 
     if (!this.usingDiscover) {
       const res = await this.following.fetch({cursor, limit})