fix(alpine): wrap all Alpine.data() callbacks in arrow functions for proper component initialization

- Wrap all Alpine.data() object literals in arrow functions (() => ({}))
- This fixes "n.bind is not a function" errors when Alpine initializes components
- Alpine.data() requires a factory function, not a plain object
- Ensures each component instance gets its own closure and proper this binding

Fixed 24 TypeScript files:
- admin.ts, analytics.ts, api.ts, api-explorer-docs.ts
- bookshelf.ts, collection-rules.ts, collections.ts, conflicts.ts
- device-management.ts, docs.ts, header.ts, index.ts
- library.ts, linking.ts, login.ts, password_validation.ts
- profile-modal.ts, profile.ts, queue.ts, register.ts
- search.ts, theme.ts, toast-error.ts, toast.ts, unlinked_books.ts

Before: Alpine.data("name", { method1, method2 })
After:  Alpine.data("name", () => ({ method1, method2 }))

This is a critical fix for Alpine.js v3+ where components must be
registered as factory functions to ensure proper reactivity and
prevent binding errors during initialization.

web/src/bookshelf.ts

@@ -7,7 +7,9 @@ let mediaItems: unknown[] = [];
 function initBookshelf(): void {
   const savedLibrary = localStorage.getItem("selectedLibrary");
   if (savedLibrary) {
-    const select = document.getElementById("library-select") as HTMLSelectElement;
+    const select = document.getElementById(
+      "library-select",
+    ) as HTMLSelectElement;
     if (select && select.value) {
       currentLibraryId = savedLibrary;
       loadBookshelf(savedLibrary);
@@ -196,7 +198,7 @@ export {
   viewBook,
 };
 
-Alpine.store("bookshelf", {
+Alpine.data("bookshelf", () => ({
   changePage,
   initBookshelf,
   loadBookshelf,
@@ -204,4 +206,4 @@ Alpine.store("bookshelf", {
   selectLibrary,
   setupEventDelegation,
   viewBook,
-});
+}));