Add analytics events for invite friends flow

Tracks the NUX funnel, dialog opens by surface, share/copy/download/scan
actions, theme picker selection, scanner results, and the empty-followers
promo banner impressions.

src/features/inviteFriends/InviteFriendsDialogInner.tsx

@@ -20,6 +20,7 @@ import {ChainLink_Stroke2_Corner0_Rounded as ChainLinkIcon} from '#/components/i
 import {Loader} from '#/components/Loader'
 import * as Toast from '#/components/Toast'
 import {Text} from '#/components/Typography'
+import {useAnalytics} from '#/analytics'
 import {IS_NATIVE} from '#/env'
 import {ActionButtons} from './components/ActionButtons'
 import {ThemedQrCard} from './components/ThemedQrCard'
@@ -34,6 +35,7 @@ export function InviteFriendsDialogInner({
 }) {
   const {t: l} = useLingui()
   const t = useTheme()
+  const ax = useAnalytics()
   const navigation = useNavigation<NavigationProp>()
   const {currentAccount} = useSession()
   const profileQuery = useProfileQuery({did: currentAccount?.did})
@@ -58,6 +60,7 @@ export function InviteFriendsDialogInner({
       Toast.show(l`Could not share - please try again`, {type: 'error'})
       return
     }
+    ax.metric('invite:action:share', {})
     try {
       await nativeShareUrl(canonicalShareUrl)
     } catch (err) {
@@ -90,6 +93,7 @@ export function InviteFriendsDialogInner({
 
     try {
       await createAssetAsync(`file://${uri}`)
+      ax.metric('invite:action:download', {})
       Toast.show(l`QR code saved to your camera roll`)
     } catch (err) {
       logger.error('InviteFriendsDialog: download failed', {safeMessage: err})
@@ -98,6 +102,7 @@ export function InviteFriendsDialogInner({
   }
 
   const onScan = () => {
+    ax.metric('invite:action:scan', {})
     // Close dialog first, then navigate (control.close callback per CLAUDE.md
     // Dialog footgun rule — prevents race with the navigation push).
     control.close(() => {
@@ -112,6 +117,7 @@ export function InviteFriendsDialogInner({
     }
     try {
       await setStringAsync(canonicalShareUrl)
+      ax.metric('invite:action:copy', {})
       Toast.show(l`Invite link copied`)
     } catch (err) {
       logger.error('InviteFriendsDialog: copy failed', {safeMessage: err})
@@ -119,6 +125,11 @@ export function InviteFriendsDialogInner({
     }
   }
 
+  const onThemeChange = (next: InviteThemeKey) => {
+    ax.metric('invite:theme:change', {themeKey: next})
+    setThemeKey(next)
+  }
+
   return (
     <Dialog.ScrollableInner
       label={l`Invite friends`}
@@ -140,7 +151,7 @@ export function InviteFriendsDialogInner({
         </Dialog.Header>
       }>
       <View style={[a.align_center, a.pt_xl, a.px_xl]}>
-        <ThemePicker value={themeKey} onChange={setThemeKey} />
+        <ThemePicker value={themeKey} onChange={onThemeChange} />
 
         <View style={[a.mt_5xl]}>
           {profileQuery.isLoading ? (

src/features/inviteFriends/InviteScannerScreen.tsx

@@ -16,12 +16,14 @@ import {ArrowLeft_Stroke2_Corner0_Rounded as ArrowLeftIcon} from '#/components/i
 import {CircleInfo_Stroke2_Corner0_Rounded as InfoIcon} from '#/components/icons/CircleInfo'
 import * as Layout from '#/components/Layout'
 import {Text} from '#/components/Typography'
+import {useAnalytics} from '#/analytics'
 
 const SCAN_FRAME_SIZE = 333
 
 export function InviteScannerScreen() {
   const {t: l} = useLingui()
   const t = useTheme()
+  const ax = useAnalytics()
   const insets = useSafeAreaInsets()
   const navigation = useNavigation<NavigationProp>()
   const [permission, requestPermission] = useCameraPermissions()
@@ -43,16 +45,18 @@ export function InviteScannerScreen() {
         /^(?:https?:\/\/)?bsky\.app\/profile\/([^/?#]+)/i,
       )
       if (!profileMatch) {
+        ax.metric('invite:scanner:scanned', {result: 'invalidQr'})
         setScannerEnabled(false)
         setShowError(true)
         return
       }
 
+      ax.metric('invite:scanner:scanned', {result: 'profileFound'})
       setScannerEnabled(false)
       const handle = profileMatch[1]
       navigation.replace('Profile', {name: handle})
     },
-    [scannerEnabled, navigation],
+    [ax, scannerEnabled, navigation],
   )
 
   const onRetry = useCallback(() => {

src/features/inviteFriends/components/FollowersPromoBanner.tsx

@@ -1,3 +1,4 @@
+import {useEffect} from 'react'
 import {Pressable, View} from 'react-native'
 import {Image} from 'expo-image'
 import {useLingui} from '@lingui/react/macro'
@@ -5,6 +6,7 @@ import {useLingui} from '@lingui/react/macro'
 import {atoms as a, useTheme} from '#/alf'
 import {TimesLarge_Stroke2_Corner0_Rounded as TimesIcon} from '#/components/icons/Times'
 import {Text} from '#/components/Typography'
+import {useAnalytics} from '#/analytics'
 
 export function FollowersPromoBanner({
   onPress,
@@ -15,6 +17,24 @@ export function FollowersPromoBanner({
 }) {
   const {t: l} = useLingui()
   const t = useTheme()
+  const ax = useAnalytics()
+
+  useEffect(() => {
+    ax.metric('invite:followersPromo:seen', {})
+    // Fire once per mount - parent unmounts the banner when followers > 0 or
+    // when dismissed, so each mount is a distinct impression.
+    // eslint-disable-next-line react-hooks/exhaustive-deps
+  }, [])
+
+  const handlePress = () => {
+    ax.metric('invite:followersPromo:press', {})
+    onPress()
+  }
+
+  const handleDismiss = () => {
+    ax.metric('invite:followersPromo:dismiss', {})
+    onDismiss()
+  }
   return (
     <View style={[a.px_lg, a.pt_md]}>
       {/*
@@ -28,7 +48,7 @@ export function FollowersPromoBanner({
           accessibilityRole="button"
           accessibilityLabel={l`Find and invite friends`}
           accessibilityHint={l`Opens the find and invite friends settings`}
-          onPress={onPress}
+          onPress={handlePress}
           style={({pressed}) => [
             a.flex_row,
             a.align_center,
@@ -62,7 +82,7 @@ export function FollowersPromoBanner({
           accessibilityRole="button"
           accessibilityLabel={l`Dismiss`}
           accessibilityHint={l`Hides the invite friends promo banner`}
-          onPress={onDismiss}
+          onPress={handleDismiss}
           hitSlop={12}
           style={({pressed}) => [
             {