Just to clarify a point discussed above. Impeachment by itself will NOT disqualify Scrotus from running for office. He must be impeached in the House AND REMOVED FROM OFFICE by the Senate for that to happen.
Being a convicted criminal is not a bar from holding office either unless the conviction is for treason, sedition, or 'crimes against the United States'.
So unless he is removed from office by the Senate, Scrotus will be perfectly free to run in 2024. And since none of the expected criminal cases awaiting him are for crimes against the US, no bar to office there.
But honestly, at this point I don't think the GOP by and large would run him for dog catcher. However, I do expect to see the formation of an 'official' MAGA political party with him at the head.