Don't ya hate when that happens! One rule of thumb, when you get competing answers: assume TT is right.
You can claim the credit if you report $23,704 of scholarship as income, freeing up $10,000 of tuition for the credit. The LLC is non refundable, so you would have to have a $2000 tax liability. You could report less to wipe out a smaller tax liability.
Try this: When asked if any of the scholarship was used for R&B answer no. TT should automatically treat the difference between box 1 and box 5 as taxable, without being tricked into it. It sounds like the $13K is being double counted.
I think I figured it out. I answered the question "Did your Aid Include Amounts Not Awarded for 2024 Expenses" as "yes" and entered the $13,704. I thought this meant was any of the amount not directly tied to a qualified expense, but reading more carefully, it means was any of the scholarship for an expense in a different calendar year. When I change that answer to "no", the $13,704 shows up as income and the credit disappears.
Thanks so much for your help!