If your BF is the bio-dad of the child, then yes, he can file as Head of Household. People have all sorts of situations----so if BF is not the child's bio-dad, he cannot file as HOH.
https://ttlc.intuit.com/questions/2900097-what-is-a-qualifying-person-for-head-of-household
If you qualify as Head of Household, when you enter your marital status (single or married filing separately) into MyInfo, and then enter your qualifying dependent, TurboTax will offer HOH as your filing status.
Since you all live together as a family, only one of you can enter the child as a dependent on your tax return.
You say that you work part-time, seasonal jobs. If you lived together for all of 2023 and earned less than $4700, you can also be claimed as a dependent and your BF would get the $500 credit for other dependents for claiming you.
https://ttlc.intuit.com/questions/4499708-what-is-the-500-credit-for-other-dependents-family-tax-cre...
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
