W-4 changes/HoHH

I had a baby in March of this year. I live in SC and am currently claiming 01 for federal exemption withholding and 00 for state exemption withholdings.  I have not changed them since giving birth. I would like to know if I should change my exemptions to avoid owing taxes in 2023.

Also, I am single, but own a home. Is head-of-household an option for me now?