Are you making a game? It’s just a tag, use your best judgment. If the output of Gen AI is something you put into your project, then tag it. If you are bundling a dependency that you chose because of its use of Gen AI, then I think it’s fair to tag it. Otherwise, I wouldn’t really worry about it.
On the other hand, if you are selling or distributing a game asset, you should have full rights to all the material you’re distributing, and you should accurately disclose the source of any third-party resources you are bundling with your asset. In my opinion, it’s a bare-minimum responsibility as an asset creator to accurately disclose what you are providing and what third-party resources you’ve included. Anyone who uses your asset should have the full ability to trace the source of every piece of material they’re using, in case they need to defend their work legally.