It still could be a coup inside the coup, where Musk takes control of so much of the administration that he can set the stage for a final coup to take down Trump and impose himself.

It's also a breach of the oath taken to preserve, protect, and defend the Constitution. But an oath is only as good as the intent of the maker.

It's not a coup if it's not against the Leadership of a sovereign nation

I don't think that's a prerequisite. We talk of military coups all the time and most of them are thoroughly domestic affaires.

That doesn't detract from the rest of what you said however.

It's a self-coup, so people are correct in calling it a coup. It's still in progress, so it's not clear how much power the white house will end up usurping, but with what they've done so far, it's imo already enough to call it a coup.

From Wikipedia: A self-coup or coup from the top, is a form of coup d'état in which a political leader, having come to power through legal means, stays in power through illegal means through the actions of themselves and/or their supporters. The leader may dissolve or render powerless the national legislature and unlawfully assume extraordinary powers. Other measures may include annulling the nation's constitution, suspending civil courts, and having the head of government assume dictatorial powers.

https://en.m.wikipedia.org/wiki/Self-coup

The wiki article also contains a long list of other historical self coups. Germany in 1933 is the most famous example.

I agree with you but am also mentally leaving room to swap who is whose minion, because that is not entirely clear to me at this point.