Apologies if somebody has already mentioned this, but I can’t be arsed to go back and check.
I believe the Gibson Mark is using in the new studio diary is an ES-5. There is a photo of him experimenting with the same instrument in the Tracker diary with a Gretsch 6120 and a Guild electric (can’t recall the model) sat around him, though I don’t know whether any of these guitars actually made it onto any of the final recordings.