Opinions please!!- Dealbreaker?

My boyfriend and I have been together almost 4 years now. We have a phenomenal 2 year old son and a home together. However; Over the past few years, he’s become excessively lazy and has neglected his personal hygiene to an unacceptable level. I don’t recall it ever being an issue for the first year and half we were together. It’s been very discouraging in all honesty. I’ve tried everything and communicated this to him at least 1000 times. I’ve been polite, understanding, angry etc. All I ask is for “help” around the house; just anything to contribute to the home being we both live here of course. I really don’t “nag”, just asking for help is all but of course I can’t help but to become frustrated at times. I mean I’m only human. If I ask for anything like, “Hey babe, can you help pick up your dirty clothes off the middle of the floor?” Or “Hey babe, can you please help get the garage organized (you know, man stuff) then he will say yes, until the same clothes are there days later. It’s as if he just downright refuses because he spends the majority if his time playing video games when he’s not at work. I’m 28 and he’s 32 so although I find video games to be a complete waste of time, I consider it his “hobby” and don’t say much. I just wish that the responsibilities he has as a father, boyfriend etc. were handled before he wasted 4 hours on the couch daily. Now as far as the hygiene, he doesn’t take many showers and he hardly ever brushes his teeth anymore. He wanted to have sex last night and I couldn’t hardly tolerate kissing him because his oral hygiene is so bad. Although it was hard, I’ve had to talk with him about it and I’ve had little to no success. I can’t force him to brush his teeth or shower more than 2x a week. I’ve asked him what I can do (or not do), if there is something wrong with me...I’ve been through this for long with him that I think it’s fair to say I’ve approached these issues from every angle I can. Towards the end of last year, things started getting really bad between us so I re-evaluated my approach because I knew he likely suffered from depression. I didn’t want to jump ship on him without feeling like I did everything I could to hold our family together. He ended up going to see a doctor who confirmed that and now he’s been taking medication for about 4-5 months. Although his mental stability seemed to improve kind of, he’s still neglecting to brush his teeth (and being that he smokes, it makes it so much worse). I’ve made my fair share of mistakes so I’m far from a saint but I truly try to make myself a better person throughout despite anything else. I am finding that no matter how hard I try, the animosity, frustration and downright disrespect is pulling me back. I’m putting so much effort into trying to make it work only to get little in return. This is all effecting my schoolwork as well since I’m working towards my bachelors degree. I feel like hard times paint a vivid picture on the reliability as a partner. With that said, I found out I’m being laid off next month and it’s a devastating blow for a variety of reasons. Primary because I’m the breadwinner. I’m sad, mad, worried...everything but I try remaining proactive in order to fight the good fight. I need him more now than ever and I broke down in tears last week and begged him to help US get through it because I couldn’t hold my head too high that day; I was broken down. Since then, nothing has changed and it hurts because I have about 1 month left in my job. It hurts that I can cry and beg to him for support and it gets me no where. Would you ladies consider some of this a dealbreaker because I’m about at a point now in my life where I want to leave? Doing such would destroy me but ultimately I am responsible for my own happiness. As a father, he’s there and loves our boy; but as a significant other...the opposite is true. What should I do??