would I be wrong to file for child support

My ex (the father of my daughter) basically gave up my daughter and said he didn’t want to be a father any more 5 months ago. Just dropped her off on his day and said he was done. He hasn’t seen her since. His mom still sees her a couple times a week though, watches her so I can work at least twice a week since I didn’t have anyone else on those days. she’s a great person and loves my daughter and wanted to still see her. She was afraid I would take my daughter away from her just because her dad didn’t want to be involved and obviously I would never do that. I was so and am still so angry and upset at my ex for abandoning our daughter that I was ranting to my family about wanting to put him on child support. my sister said it would be selfish and that I can’t because his mom is helping me with my daughter. Is that true that I can’t put him on child support if im getting help from his mom? He doesn’t help financially with anything, not with me or his mom

Edit just to clarify I work 5 days a week, the days she helps are only Thursday’s and fridays when I don’t have other help. my daughters going to be in school in 5 weeks so I won’t need help anymore then, I’m sure her grandma will still want to see her at least once a week though. Thank you for your comments I’m going to file!