Can I travel out with both my old and new passports when exiting Thailand?

The individual originally on a visa exempt status extended by 30 days is seeking confirmation about the correct procedure for traveling out of Thailand with a new passport. Comments suggest that it is standard practice to carry both the old and new passports when exiting, as the exit stamp will be on the old passport while the entry to Laos will be processed through the new one. However, there are concerns regarding the necessity of transferring the extension stamp from the old passport to the new one. It is generally advised to check with immigration beforehand, especially since there can be strict protocols depending on the office.