fix(mobile): screen readers hear the account the badge shows

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>

Author: vitalyiegorov

apps/mobile/src/features/threads/NewTaskDraftScreen.tsx

@@ -1745,7 +1745,11 @@ export function NewTaskDraftScreen(props: {
                   <View className="min-w-0 flex-1 flex-row items-center justify-end gap-2">
                     <View className="min-w-0 shrink">
                       <ComposerInlineControl
-                        accessibilityLabel="Model and reasoning settings"
+                        accessibilityLabel={
+                          flow.selectedModelOption?.providerBadge
+                            ? `Model and reasoning settings, ${flow.selectedModelOption.providerBadge.displayName} account`
+                            : "Model and reasoning settings"
+                        }
                         disabled={isComposerInteractionLocked}
                         emphasized
                         renderIcon={(size) => (

apps/mobile/src/features/threads/ProviderSubagentBar.tsx

@@ -46,7 +46,7 @@ export function ProviderSubagentBar(props: {
       {/* Only the text is one element, so "Open parent" stays reachable. */}
       <View
         accessible
-        accessibilityLabel={`${modelDescription} subagent, ${statusLabel}. It runs on its own and cannot take messages.`}
+        accessibilityLabel={`${modelDescription} subagent${props.provider?.badge ? ` on the ${props.provider.badge.displayName} account` : ""}, ${statusLabel}. It runs on its own and cannot take messages.`}
         className="min-w-0 flex-1 gap-0.5"
       >
         <View className="min-w-0 flex-row items-center gap-1.5">

apps/mobile/src/features/threads/ThreadComposer.tsx

@@ -1122,7 +1122,11 @@ export const ThreadComposer = memo(function ThreadComposer(props: ThreadComposer
                     />
                     <View className="min-w-0 shrink">
                       <ComposerInlineControl
-                        accessibilityLabel="Model and reasoning settings"
+                        accessibilityLabel={
+                          currentModelOption?.providerBadge
+                            ? `Model and reasoning settings, ${currentModelOption.providerBadge.displayName} account`
+                            : "Model and reasoning settings"
+                        }
                         emphasized
                         renderIcon={(size) => (
                           <ProviderAccountIcon