fix(library): reset (X) also clears sort & order, via a shared hook

The mobile ResetFiltersButton and the TV filter header each had their own
active-state and reset logic, and both ignored sort & order — so the reset
chip never appeared for a changed sort and reset never restored it.

Centralise both in useFilterReset(libraryId): the chip now reflects a
non-default sort, and reset restores SortName/Ascending and clears the
per-library persisted sort/order/filter preferences so the reset sticks.

hooks/useFilterReset.ts

@@ -0,0 +1,84 @@
+import { useAtom } from "jotai";
+import { useCallback } from "react";
+import {
+  FilterByPreferenceAtom,
+  filterByAtom,
+  genreFilterAtom,
+  SortByOption,
+  SortOrderOption,
+  sortByAtom,
+  sortByPreferenceAtom,
+  sortOrderAtom,
+  sortOrderPreferenceAtom,
+  tagsFilterAtom,
+  yearFilterAtom,
+} from "@/utils/atoms/filters";
+
+/**
+ * Single source of truth for the library filter bar's "reset" action and its
+ * visibility. The mobile ResetFiltersButton and the TV filter header both use
+ * this so they can't drift — sort/order used to be reset on neither path, so
+ * the reset (X) never reflected a changed sort.
+ *
+ * A reset clears the session filters AND the per-library persisted preferences
+ * (sort, order, filterBy); otherwise the saved preference resurfaces when the
+ * library's mount effect re-applies it on the next entry.
+ */
+export const useFilterReset = (libraryId: string) => {
+  const [selectedGenres, setSelectedGenres] = useAtom(genreFilterAtom);
+  const [selectedYears, setSelectedYears] = useAtom(yearFilterAtom);
+  const [selectedTags, setSelectedTags] = useAtom(tagsFilterAtom);
+  const [filterBy, setFilterBy] = useAtom(filterByAtom);
+  const [sortBy, setSortBy] = useAtom(sortByAtom);
+  const [sortOrder, setSortOrder] = useAtom(sortOrderAtom);
+  const [, setSortByPreference] = useAtom(sortByPreferenceAtom);
+  const [, setSortOrderPreference] = useAtom(sortOrderPreferenceAtom);
+  const [, setFilterByPreference] = useAtom(FilterByPreferenceAtom);
+
+  // SortName / Ascending is the baseline a library opens with (mount-effect
+  // fallback), so any other value counts as an active, resettable sort.
+  const hasActiveFilters =
+    selectedGenres.length > 0 ||
+    selectedYears.length > 0 ||
+    selectedTags.length > 0 ||
+    filterBy.length > 0 ||
+    sortBy[0] !== SortByOption.SortName ||
+    sortOrder[0] !== SortOrderOption.Ascending;
+
+  const resetAllFilters = useCallback(() => {
+    setSelectedGenres([]);
+    setSelectedYears([]);
+    setSelectedTags([]);
+    setFilterBy([]);
+    setSortBy([SortByOption.SortName]);
+    setSortOrder([SortOrderOption.Ascending]);
+    setSortByPreference((prev) => {
+      const next = { ...prev };
+      delete next[libraryId];
+      return next;
+    });
+    setSortOrderPreference((prev) => {
+      const next = { ...prev };
+      delete next[libraryId];
+      return next;
+    });
+    setFilterByPreference((prev) => {
+      const next = { ...prev };
+      delete next[libraryId];
+      return next;
+    });
+  }, [
+    libraryId,
+    setSelectedGenres,
+    setSelectedYears,
+    setSelectedTags,
+    setFilterBy,
+    setSortBy,
+    setSortOrder,
+    setSortByPreference,
+    setSortOrderPreference,
+    setFilterByPreference,
+  ]);
+
+  return { hasActiveFilters, resetAllFilters };
+};