They prevent hospital admissions by gatekeeping. While he has you looking after him he's not a priority. They'll do nothing if you phone them, IME. In my area you're not even allowed to phone them unless you've been put on a list of people who can phone them that week. Mostly all they'll do is come round and ensure someone takes their meds and assess whether they need further help at that moment. They don't prevent hospital admissions by actually doing anything to cure the patient.
The procedure for being suicidal and unable to keep yourself safe is to go to A&E and ask to see the duty psychiatrist. So if that's him, then either someone watches the kid while you take him, someone takes him while you stay home with the kid or you call an ambulance (if he's unable to get himself there in a taxi). If he's genuinely in danger of ending his life then now is the time to call in favours from whoever you can, don't be proud about it.
Has he only tried two antidepressants? That's not beyond GP capabilities yet, you're only at the start of the journey, there's more to try and if the problem is primarily anxiety then there's anxiolytics he can be prescribed by GP too.
Is he having panic attacks on repeat all day? If so, return to GP ask for something to combat that, at least until the the ADs have kicked in, antihistamines and beta blockers aren't addictive if the GP has concerns about that.
Ask at your GP practice if there's one with a special interest in MH and book in to see that one. If he's tried lots of ADs (not just of one type either, there's several types, Google to see what types he's had. All psychiatrists do is experiment with the meds, a GP can do the same. Psychiatrists can prescribe more than the basic ADs that's all) and if nothing is working then ask for a referral to secondary MH services.
Now apologies if this sounds harsh but if he is, in fact, just feeling shit and being a bit of a baby about it then dish out some tough love. He won't feel better wallowing in bed. Curtains and windows open. Up and in the shower at some point daily. Outside for some fresh air even if that's just the garden, but preferably some form of exercise (a walk round suburbia where it's quiet during the day if he doesn't want to be around people). Proper food. It's all a situation where he doesn't have to like it, he just has to do it, because it's good for him.
Reading calms the mind, so get him some books or magazines if he's upto doing a bit of reading, get him to come to the shop/library with you if you can, just to get him out of the house, even if you end up choosing the reading material for him.
Hopefully it goes without saying but just in case - no alcohol at all, it causes depressed feelings and anxiety next day and stops ADs working properly, it also interrupts sleep. And obviously no drugs! That includes excessive amounts of tea or coffee, or cola, because of the caffeine which won't be helping anxiety symptoms.
Sleep is massively important so no staying up all night playing computer games etc. Sleep stories on YouTube or an app if he can't sleep, he can lay there listening to those and focus on keeping his breathing steady and resting his body.
If he needs someone to talk to call Samaritans or a charity MH helpline. Daily if necessary.
What he can do doesn't matter, the point is he must do what he can. It's that constant trying whenever he's able to which will lead to him overcoming this and finding a way through with various coping strategies etc. There'll be times he can do nothing except survive minute by minute, but there'll be other times he can do a little more. Nobody else can cure his depression, it has to come from him. All anyone else can do is help him along, with meds, therapy, support etc.