Will it affect my parent's medicaid if I add my dad's name then take it away?

The co-op me and my parents want to live in require household income of 50k. My mom and dad (except me) are receiving SNAP benefits as well. I currently make 45k. So we are thinking about adding my dad's name on the deed, then if we are closing in the co-op, I will remove his name from the deed. So this will be my mom, dad and my primary residence. I will be the primary cosignee. So will this affect his medicaid?