DP did similar before he actually got some treatment and engaged with it for a change, even when he'd had some more difficult situations.
Strangely enough, if it was something he wanted to do, he could do it no problem. But important to me? Nah - the best I could hope was that he wouldn't refuse to leave the house at the very last minute or suddenly get up and walk out seconds after we'd walked into wherever it was or thirty minutes later when I'd gone to the toilet, leaving me to come out, realise he'd gone and have to go running down the street after him or sort out how I was going to get home by myself.
Eventually, following a traumatic bereavement, I stopped tiptoeing around him. I told him he was (albeit unintentionally) being controlling and abusive. He was financially abusing me because he couldn't/wouldn't work. He was controlling me by ruining things when they were important to me but could do whatever he fucking wanted all the fucking time. He was isolating me from people because it sucked all the joy out of life knowing that the same person now claiming they can't leave the house or speak to a single person, including me, was happily posting away on SM or chatting to people on the phone. Or out somewhere else. He was embarrassing me when friends had to tell me 'he's gone' or he hid in a corner with his coat on and his hat pulled down in case somebody saw him. He was stonewalling me by refusing to speak to me if I was upset at being abandoned publicly. He was coercing me to behave by making everything all about him not being happy and fuck you, Mitzi, your feelings don't count compared to My Mental Health And if he wanted me to appear to be a single fucking woman, I might as fucking well be one, because my celibate cock lodger is seriously cramping my style.
He pulled his head out his arse and went to the doctor. He got a job. He was fine, even though he wasn't comfortable doing it, the prospect of being out on his arse if he continued to expect to remain in his comfort zone was significantly less appealing.
He's glad he took that first job. He's glad he took the next. He's glad that I made it absolutely clear to him that I no longer cared if he felt scared, I'd had enough.
Honestly, you are likely to end up as a single woman - not a single parent - if you continue to insist upon Baby Steps (otherwise known as Pretending to Make an Effort) and not engaging fully with therapy even when - especially when - it's hard, because if you can't/won't take your own kid to school, you're not in any position psychologically to say that you would be the most suitable person to have care or residence.
Does the prospect of that make you slightly keener to get your backside out and see a professional and keep trying? or are you going to freak out and say I'm being mean to you?
What's more important - being comfortable or being a parent?