[DoodleDawg]

All the impeachments in the world don’t prevent him from running again. A felony conviction would be required for that.

Other way around. Nothing in the Constitution prevents a convicted felon from running for president. But an impeachment conviction prevents him from ever holding office again.

[Campion]

But an impeachment conviction prevents him from ever holding office again.

It can, or it can be limited to just removal from office. Removal from office and disqualification are evidently two separate Senate votes.