Does the POTUS count as a wing of the government? The POTUS and some members of congress? It was not a coup, but I'd call it an attempted coup.

It was an attempted coup.

If I show up at the capitol building alone and demand to be put in charge, is that also a coup attempt? Obviously where you draw the line is subjective, but this event never had anything close to the requisite backing to become an actual coup, so calling it that feels a bit disingenuous to me. What it was is a riot and and an insurrection, but not a coup.