I doubt he will succeed.

He tried it after his first term - said the election of 2020 was rigged. It didn't work. His behavior when the Biden Administration took office was completely atrocious. He did not welcome the incoming President on the White House steps. He did not attend Biden's inauguration. He behaved like an ill-tempered overgrown brat. But he did leave.

I doubt any potential candidate is going to want their chances wrecked by Trump's ass parked in the Oval Office when he longer has the legal right to be there. I doubt the Dems and other parties will be willing to tolerate it either. The Dems want to recapture the WH and other candidates want their shot at it. The military won't pitch him out the door, but they don't have to. They are sworn to obey the President - all they have to do is ignore Trump and listen to the legal President (the next one in office).

Trump gets two terms by law. They don't have to be consecutive. He can not remain, even during a war. I am aware of no law that gives him that power, and I am not sure but I doubt Congress can circumvent the two term limit. There's too many people who want Trump gone. FDR was able to remain in office for at that time there was no law in place limiting his terms. That came after FDR.

I wouldn't put it pass the Brat-in-Office to try. . .but I doubt he will succeed.