If my private student loan service says it's considered a consumer loan, how can I enter my payments for 2024 as a deduction?

You will still enter it in the same place, just without the 1098-E.  All you will need to enter is the name of the bank and the amount of interest you paid.

If this is a private loan, you can still deduct the interest as long as it was used to pay for education expenses.

A qualified student loan is a loan you took out solely to pay qualified higher education expenses that were:

• For you, your spouse, or a person who was your dependent when you took out the loan;
• For education provided during an academic period for an eligible student; and
• Paid or incurred within a reasonable period of time before or after you took out the loan.