There is no field 'linked_media_library'

There is no field 'linked_media_library'.

I 'm not sure what this means. If you mean that you expect the module to create a linked_media_library field, that is not the case for this module. The user should create the field as needed. The module just provides the widgets and behaviour so it can be added to a field.

If this is not what you meant I would need more info to fully understand the problem.

There is a field type with id = "linked_entity_reference",

There is none for "linked_media_library".

I can't create a new field of the type linked_media_library as described in the notes.

Ok, I see the problem. During 📌 Drupal 10 compatibility fixes Fixed the linked_media_library widget was changed: the field type it can be applied to changed from linked_entity_reference to linked_media_library. This was to solve an error apparently due to Drupal 10 compatibility, although it was just because Media Library module was not enabled. Changing the field type to something non-existent "solved" the issue because the widget was not processed anymore.

The problem should be solved removing the widget if the Media Library module is not found.

I think is fixed, can you try the dev version with the fix?