fix(tv): keep search grid padding on re-search and stop dictation hint clip

- TVSearchSection: replace contentInset+contentOffset (offset only applies on
  initial mount, so the reused FlatList lost its left padding on a second
  search and snapped to the edge) with stable contentContainerStyle padding.
- TVSearchPage: drop the horizontal margin around the native tvOS search bar so
  it spans full width; the extra margin squeezed the bar and clipped its
  trailing "Hold to Dictate in <Language>" hint.

components/search/TVSearchPage.tsx

@@ -235,10 +235,13 @@ export const TVSearchPage: React.FC<TVSearchPageProps> = ({
             module). It renders the native search bar + grid keyboard and
             forwards typed text into the existing query pipeline via setSearch;
             our own results grid renders below. */}
+        {/* No horizontal margin here: the native tvOS search bar centers itself
+            and renders a trailing "Hold to Dictate in <Language>" hint. Extra
+            margins squeeze the bar's width and clip that trailing hint, so let
+            the native view span the full width and own its own insets. */}
         <View
           style={{
             marginBottom: 24,
-            marginHorizontal: HORIZONTAL_PADDING,
             height: SEARCH_AREA_HEIGHT,
           }}
         >

components/search/TVSearchSection.tsx

@@ -297,12 +297,12 @@ export const TVSearchSection: React.FC<TVSearchSectionProps> = ({
         removeClippedSubviews={false}
         getItemLayout={getItemLayout}
         style={{ overflow: "visible" }}
-        contentInset={{
-          left: edgePadding,
-          right: edgePadding,
-        }}
-        contentOffset={{ x: -edgePadding, y: 0 }}
+        // Edge padding via contentContainerStyle, NOT contentInset+contentOffset.
+        // contentOffset only applies on initial mount; since this FlatList is
+        // reused across searches (stable key), a second search left the inset
+        // without the offset and the grid snapped flush to the left edge.
         contentContainerStyle={{
+          paddingHorizontal: edgePadding,
           paddingVertical: SCALE_PADDING,
         }}
       />