Chapotraphouse

Ok so the loophole goes the 22nd amendment only mentions being elected president, not serving as a limit. So the theory is you can get 4 terms out of a strong P/VP if they reverse the ticket. The guy pretending to be president does have to resign in that case though.

But technically you can do the above shuffle, then, if you have the house votes, elect the "president" to speaker of the house. Once he resigns, leaving the P spot open for the real president to scoot in, as speaker of the house he's automatically next in line for VP via succession.

You get keep that going for awhile actually, if you loop in a third party.