Can I re-enter Thailand for another 60 days after a trip to Kuala Lumpur on a visa exempt entry?

The user is currently in Thailand on a 60-day visa exemption, with an extension that expires in March. They are contemplating a short trip to Kuala Lumpur and want to know if they can return to Thailand afterwards to obtain another 60-day visa exemption. Comments suggest that as long as they haven't been in Thailand for a significant time prior to this entry, they should be able to successfully re-enter and receive the exemption again. It is also recommended to consider using a border bounce agent.