Improve mobile selectors and sheet inputs

Keep sheet text inputs native-owned to avoid React Native controlled input flicker during fast typing. Add reset keys for fields that need programmatic clears, and move model, mode, and thinking pickers onto shared combobox rows with fuzzy ranked search and native virtualization.

packages/app/src/screens/project-settings-screen.tsx

@@ -22,7 +22,7 @@ import { Alert } from "@/components/ui/alert";
 import { ExternalLink } from "@/components/ui/external-link";
 import { LoadingSpinner } from "@/components/ui/loading-spinner";
 import { Switch } from "@/components/ui/switch";
-import { AdaptiveModalSheet } from "@/components/adaptive-modal-sheet";
+import { AdaptiveModalSheet, type SheetHeader } from "@/components/adaptive-modal-sheet";
 import { SettingsGroup } from "@/screens/settings/settings-group";
 import { SettingsSection } from "@/screens/settings/settings-section";
 import { settingsStyles } from "@/styles/settings";
@@ -1150,11 +1150,15 @@ function ScriptEditModal({ script, onChange, onCancel, onSave }: ScriptEditModal
   const showNameError = touched.name && validation.nameError;
   const showCommandError = touched.command && validation.commandError;
   const isService = script.type === SCRIPT_SERVICE_TYPE;
+  const sheetHeader = useMemo<SheetHeader>(
+    () => ({ title: script.name ? `Edit ${script.name}` : "New script" }),
+    [script.name],
+  );
 
   return (
     <AdaptiveModalSheet
       visible
-      title={script.name ? `Edit ${script.name}` : "New script"}
+      header={sheetHeader}
       onClose={onCancel}
       testID="script-edit-modal"
       desktopMaxWidth={560}