Hey, since you mentioned gout (and I read the rest so I know you don’t have it) that’s definitely something totally preventable and treatable, and also definitely something you don’t want to leave untreated.
But hey, fellow ~~Clevelander~~ beehawer, welcome aboard!
I’ve been in your exact situation, and I’ll tell you what was once told to me by someone older and wiser than myself. When you determine that your plate is full, you ask your manager to help you prioritize the tasks you’re being assigned. You lay out all the shit that’s been dumped on you, and ask for the order in which they want it done.
If they understand, they’ll stop piling on and you’ll get some relief.
If they don’t understand or say something like “you’ll figure it out” look for the door and find another job as quickly as possible.