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

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

src/state/queries/verification/useVerificationCreateMutation.tsx

@@ -1,9 +1,4 @@
-import {
-  type AtIdentifierString,
-  type DidString,
-  type HandleString,
-  toDatetimeString,
-} from '@atproto/syntax'
+import {toDatetimeString} from '@atproto/syntax'
 import {useMutation} from '@tanstack/react-query'
 
 import {until} from '#/lib/async/until'
@@ -28,9 +23,9 @@ export function useVerificationCreateMutation() {
 
       const {uri} = await pdsClient.create(app.bsky.graph.verification, {
         // the profile view is still legacy-typed, so its strings are unbranded
-        subject: profile.did as DidString,
+        subject: profile.did,
         createdAt: toDatetimeString(new Date()),
-        handle: profile.handle as HandleString,
+        handle: profile.handle,
         displayName: profile.displayName || '',
       })
 
@@ -48,7 +43,7 @@ export function useVerificationCreateMutation() {
         },
         () => {
           return appviewClient.call(app.bsky.actor.getProfile, {
-            actor: (profile.did ?? '') as AtIdentifierString,
+            actor: profile.did ?? '',
           })
         },
       )