All UK 60 day visa's are now visa's that you get on line try and apply on line for one it will be emailed to you,you will just have to do a boarder run and come back in on the 60 day visa.
I have a UK 6 month 60day multiple entry evisa,can stop for 60day then every time you leave and return you get another 60 days no need to get 30 day extensions, you can even leave a few days before the 6 months is is up and when you return you get another 60 that will take you past the 6 months expiry day and then you can get a 30 day extension, if worked right you can get nearly 9 months
It's an e visa you get online you could also look at a 60 day multiple entry tourist visa.
It lasts 6 months and allows you as many 60 days as you want just leave and each time you return you get 60 days ,even if it has only 1 day before the 6 months is up and you return you will get 60 days again
He may have a 60 day multiple entry that last 6 months stay 60 days get a 30day extension then you have to leave to get another 60 days.
I have the same e visa ,if you have got the same visa you don't need to get a 30 day extension just simply do a boarder run ever 60 days can leave as often as you want and get 60 days on re-entry.
Ask the people that will give you the definitive answer,the airline you are traveling with are the only people that will give you an answer you know 100% to be correct
I started seeing a Thai woman in January 2023 ,got her a visa to visit me in June 2023 filled in all the paperwork,she had her own business and a daughter so she had to go back to Thailand .