tl;dr: 14A S3 doesn't apply to a current or former President, because that office is somehow excluded from the list of offices for which an oath must have been taken.

That is such a technical reading, and it seems ridiculous that 14A S3 was written specifically to exclude Presidents, as though they wanted to make sure that an Anti-Constitutional President could hold office again, while making sure to exclude every other single office available to be held, elected or appointed, in the entire rest of the federal government and the entirety of every state government.

And you're right, you fucker. Fuck you for making me know this. I mean that with the utmost respect.