I don’t believe impeachment + removal can keep Trump from running again for any office, though he would probably be better as an outside force at that point. Only if Trump is convicted of a criminal offense, or treason, can he be prevented from running for office. Pragmatically, though it wouldn’t be possible once the 30 million new democrats are christened by 2022.
If convicted by the Senate for removal yes, it precludes him from holding office again.