Since Trump has served 1 term as president. If Trump runs again and wins in 2024 will he be able to serve 1 or 2 more terms?

The 22nd amendment to the Constitution of the United States of America reads:

Section 1. No person shall be elected to the office of President more than twice, and no person who has held the office of President, or acted as President, for more than two years of a term to which some other person was elected President,shall be elected more than once.

Note: The amendment DOES NOT refer to consecutive terms. It states no person shall be elected more than twice.

It also doesn't specifically state a person can't SERVE more than 2 terms, if they become President by some means other than election.

While it would violate the spirit of the amendment, there is an argument a former President not eligible to be elected could become Vice President. If that happened, the President could leave office and the former President, now Vice President would be elevated to the role of President under the 25th amendment.

I would argue this scenario would be prohibited by the 12th amendment requirement that "no person constitutionally ineligible to the office of President shall be eligible to that of Vice-President of the United States".

The language isn't 100% clear on that issue.

He'd only be able to be elected to 1 additional term. 

1 term, and don't try to scare us. 

Breaking news, Trump's comment after acquittal: "We have so much work ahead of us." 

No.  It's 2 total.