"Should I claim exempt from tax withholdings . . .?"
Note that you cannot claim exempt on your W-4 unless you meet BOTH of the following conditions.
(1) You had no federal income tax liability in 2022
AND
(2) you expect to have no federal income tax liability in 2023.
For this purpose, federal income tax liability is defined as the total tax on line 24 of your 2022 Form 1040. It is not the amount that you owe on your tax return.
But as stated above, claiming exempt on your W-4 would not do any good anyway with regard to how much you can get for the solar credit or any other nonrefundable credit.
