u/Decent-Permit-7445

Hi, I want your guys opinions, I’m in a bit of a predicament.
My partner(M23) and I have been together nearly 4years. And our son was born last year he’s 8months. I work Monday- Thursday 6hours a day and do household duties(doing dishes, washing our clothes,cleaning the house etc) he works the comes home spends time with our son a little bit( mind you he does early shifts for 2 weeks and does late shifts the next 2 week so on his late shifts he doesn’t see our son only in the mornings but doesn’t help getting him ready for the day) but he’s on his phone or on his video games, he doesn’t help me with the dishes or any household duties at all. We go food shopping together because I find it difficult sometimes doing it alone and he helps bathe our son( e.g put the towel around him when he’s out of the bath and bring him int his room) I wash him and dry him and dress him etc.
He still wants to be intimate in the bedroom but at the end of the day I can’t be bothered because I’m exhausted and at the weekends I try and catch up with housework or spend time with my baby because I’m exhausted all week. I cook atleast 3-4 times a week and make his lunch for him for work.
My questions is should I stay with him or do I go?
My mind is telling me leave because we argue and he gets defensive anytime I try and bring anything up around house work and he says “he’s tired”.
He also has 2 days off during the week and he doesn’t do anything while he’s home just play his games.
Can you lot give me advice on what I should do?
Thanks