fix: resolve library management issues

- Fix library edit form to use type_name instead of library_type_id for type dropdown
- Clear library-id input after successful delete to prevent create-then-delete bug
- This fixes the issue where creating a new library after deleting one would fail with 'Unknown error' due to stale library-id

web/src/library.ts

@@ -299,7 +299,7 @@ function editLibrary(libraryId: string): void {
 
         if (nameInput) nameInput.value = library.name;
         if (descInput) descInput.value = library.description || '';
-        if (typeInput) typeInput.value = library.library_type_id;
+        if (typeInput) typeInput.value = library.type_name;
     }
 
     const modalTitle = document.querySelector('#create-library-modal h2');
@@ -384,6 +384,11 @@ async function confirmDeleteLibrary(): Promise<void> {
         }
 
         await reloadLibraries();
+
+        const libraryIdInput = document.getElementById('library-id') as HTMLInputElement | null;
+        if (libraryIdInput) {
+            libraryIdInput.value = '';
+        }
     } catch (error) {
         (window as any).api.handleError(error, 'Failed to delete library');
     }