Can Trump be impeached after his term?

I see people saying yes, based upon arguments based on the debated before signing the Constitution, but Article 4 reads:

Section. 4.

The President, Vice President and all civil Officers of the United States, shall be removed from Office on Impeachment for, and Conviction of, Treason, Bribery, or other high Crimes and Misdemeanors.

Basically, the US Constitution only allows for impeachment of “The President, Vice President and all civil Officers of the United States”

Once Noon of Jan 20th happens, Trump is no longer any of those. Now I can see the argument that he is already impeached, just not convicted.

As for losing his benefits, there is another interesting problem. The Former President’s Act holds that:
(f) As used in this section, the term “former President” means a person–

(1) who shall have held the office of President of the United States of America;

(2) whose service in such office shall have terminated other than by removal pursuant to section 4 of article II of the Constitution of the United States of America; and

(3) who does not then currently hold such office.

Now, if Trump makes it to noon tomorrow, without being removed from office due to impeachment, he has not been removed from office by impeachment , but by making the end of his term.