Description:
Add a new column to the Library that displays the collection(s) a mod is part of (both installed and downloaded collections). This will help users quickly identify where their mods are used.

Definition of Done (DoD):

Users can see the name(s) of the collection(s) each mod is part of directly from the Library.
If a collection is deleted, the corresponding collection name(s) are removed from the column.

Acceptance Criteria:

A new "Collection" column is visible in the Library view.
For each installed mod, the column lists the collection(s) it is a part of.
If a mod is deleted, its collection information is cleared from the column.
Multiple collection memberships are displayed clearly (comma-separated or similar).
The column integrates seamlessly with sorting/filtering features in the Library.
Installed collection have an icon, downloaded collections have a different icon in the column.