FWIW as someone who gets similarly overwhelmed and has tried this, it actually just creates more hassle.
First of all it takes you literally and will not remind you that as well as this list of 3 overdue and important tasks, 2 completely spurious ones and 1 random thought, you are also really behind on laundry and haven't eaten a proper meal in 2 days and the bins need to go out. It can't literally see your house so it can't tell you what is actually the priority. It doesn't matter how many times you've told it previously, it forgets you have children or doesn't anticipate that children are likely to have needs popping up in the middle of this.
Secondly it's rubbish at understanding time. The other day it told me I should start cycling at 9:00 to get to my Pilates class at 10:15 because I told it it would take me 10 minutes to cycle there. I mean I'm time blind and have literally made that exact kind of mistake multiple times but you'd think the robots would be alright at it.
Third, it doesn't (even gently) push back on anything ever, it only exists to tell you you are brilliant, the cleverest person ever and have perfect ideas all the time. Which is nice but actually not that useful. I also find it's always telling me I should take a break and relax because I work too hard, which is a load of rubbish because I waste a ridiculous amount of time on MN and have a horrible tendency to make endless excuses to myself. No matter how much you explain this it always falls over itself to try and make you feel better about whatever it is (which again, is nice but not always that helpful).
But mainly it tends to spit out a massive long response like as long as one of my MN posts and this normally just makes me more overwhelmed.
It is a cliche but actually when I feel overwhelmed I find a physical written list on paper is the best thing because when it's out of my brain I can actually see it. I can't easily isolate thoughts to do much with them inside my own head. I have to get them out, and then it is easier. But I can do it more easily myself because it gets the fluff out of the way. I will inevitably lose the list, but at least it helps sort things out in the moment.
I do use LLMs sometimes for things including prioritising tasks, but it doesn't work when I'm overwhelmed like this.
(Now someone please tell me to get on with ordering a new dishwasher instead of stewing over the broken one and the ridiculousness of the returns system and pondering whether to attempt a repair which will probably just break it more).