I am located in Texas. I am a mother not working the father is not on the birth certificate due to an unresolved marriage. Can I allow him to claim my son on his taxes if I receive WIC, Food stamps and Medicaid? Or is it not even worth it?

My boyfriend provides other things such as baby necessities and shared custody. He makes about 75,000 a year. I am on benefits and am not working but have agreed to let him claim him will this open up a child support case or cause any legal issues for me since paternity hasn’t been established and I am married to someone who refuses to get a divorce and abandoned me about a year ago.