Yes, it will be carried over to Alabama state return. You do not re-enter them. This is what Alabama says:
If you qualify for the Mortgage Interest Credit on your Federal return, the total interest you paid (before the
credit) is deductible for Alabama purposes.
Here are the complete instructions form Alabama (page 19):
https://revenue.alabama.gov/wp-content/uploads/2019/01/18f40bk.pdf
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