General Discussion

While the vp and cabinet can invoke the 25th and he would lose poer for 2 weeks, he could petition congress that he is healthy and will resume the presidency.

Once he does that, he has full powers again until both houses, with a 2/3 vote, say otherwise.

At that point, he can merely repeat the process.

Impeachment only takes a majority in the house and 2/3 in the senate. No cabinet vote. No 2/3 in the house. And it's final. There is no appeal or petition possible.