lifetime learning credit

so if my daughter file independently and her W2 made only 8000 for tax year 2023, then she will not get the lifetime learning credit of $2000?

she made $30,000 last year and got a $2000 LLC credit

 

From my understanding , there is a lower limit necessary to get the LLC 

so if no income made for tax year 2023, you get nothing because LLC used only to lower the taxes that you owe, right?