Fair enough; I got the wrong end of the stick. I apologise.
I think the best case for the argument is also around in the UK, which is that reform UK (which, for those abroad, is our resident right wing nutjob party) has put electoral pressure on the party and pulled them to the right, and the same thing has happened with the greens on the left.
That being said, I think the best time to cast that vote is during local elections (or MEPs back when we were still in Europe) where there's something closer to proportional representation, or when you don't live in a swing seat. For those in the US who are in safe republican seats, I'd agree that 3rd party is a pretty good way to get your voice heard. In knife edge places, I'd argue for tactical voting, but equally it's not my country.
WRT anarchism: it's a philosophy I think we should implement a lot of concepts from (mutual aid, parallel organisation). The reason I mentioned it was that some have the view that we shouldn't vote full stop; I am of the view that voting is not the be all and end all -- vote tactically, be that for harm reduction if your vote is likely to count significantly, or third party if it won't, and then go and advocate for your causes in the other days of the four year election cycle.