Correct on impeachment, but the Head of Supremes must verify

To be fair, Blakeman does write that the Senate will be required to take some action, but that it doesn’t have to be a trial. All McConnell needs to do, Blakeman writes, is to call a vote to dismiss before a trial even starts — and that would require only a simple majority, as it is just a procedural motion.

Nothing ambiguous. The Senate votes to dismiss by majority.

The senators send a note to the Supremes. The Head of Supremes has to preside over the vote, but a simple, public  notification is sufficient.