Under the current administration, what the constitution does and doesn't say may be entirely immaterial. They are perfectly happy running ripshod over the due process provisions of the fifth amendment so may choose to ignore, or at least try to ignore, any other part too.

It could be writen on single-ply toilet paper, and the paper hold more value.

Of course a lot of this is up in the air and could be resolved before the end of this term, as there are numerous legal challenges on-going, but perhaps not and with people openly taking about a 3rd term by various tricks (not blatantly declaring that it is happening, but I'd not put it past them!) such as him running as vice to someone else's election campaign then the president elect stepping down, this sort of ignorance of current law could continue for two terms or more.