Move request for notifications permissions to HomeReadyScreen (#3977)

* cleanup the current logic

* add statsig logs

* implement requests for permissions where needed

* oops

* let `addPushTokenListener` handle the token registration

* place new log event type with the other `notifications` type

* place registration next to handler

* more organization

* only call `gate()` if permission is not yet granted

* be more specific to prevent gate pollution

* nit

* make `token` non-optional in `registerToken`

* remove `prevDid`, move `registerPushToken` into `useEffect`

* keep it outside actually

* nit

src/view/screens/Home.tsx

@@ -20,6 +20,7 @@ import {
 } from '#/state/shell'
 import {useSelectedFeed, useSetSelectedFeed} from '#/state/shell/selected-feed'
 import {useOTAUpdates} from 'lib/hooks/useOTAUpdates'
+import {useRequestNotificationsPermission} from 'lib/notifications/notifications'
 import {HomeTabNavigatorParams, NativeStackScreenProps} from 'lib/routes/types'
 import {FeedPage} from 'view/com/feeds/FeedPage'
 import {Pager, PagerRef, RenderTabBarFnProps} from 'view/com/pager/Pager'
@@ -58,7 +59,9 @@ function HomeScreenReady({
   preferences: UsePreferencesQueryResponse
   pinnedFeedInfos: SavedFeedSourceInfo[]
 }) {
-  useOTAUpdates()
+  const gate = useGate()
+  const requestNotificationsPermission = useRequestNotificationsPermission()
+
   const allFeeds = React.useMemo(
     () => pinnedFeedInfos.map(f => f.feedDescriptor),
     [pinnedFeedInfos],
@@ -70,6 +73,11 @@ function HomeScreenReady({
   const selectedFeed = allFeeds[selectedIndex]
 
   useSetTitle(pinnedFeedInfos[selectedIndex]?.displayName)
+  useOTAUpdates()
+
+  React.useEffect(() => {
+    requestNotificationsPermission('AfterOnboarding')
+  }, [requestNotificationsPermission])
 
   const pagerRef = React.useRef<PagerRef>(null)
   const lastPagerReportedIndexRef = React.useRef(selectedIndex)
@@ -109,7 +117,6 @@ function HomeScreenReady({
     }),
   )
 
-  const gate = useGate()
   const mode = useMinimalShellMode()
   const {isMobile} = useWebMediaQueries()
   useFocusEffect(