Advice on grass seed for a few circumstances

Live in Southern Missouri. Not quite as hot and wet as the deep south, but getting close.

I have a lawn that is a big mix of various grasses and clover and violets and all kinds of stuff, and honestly I enjoy that. I keep bees and like have a pollinator friendly lawn.

BUT

I have a couple of use cases, and I'm looking for a good grass seed to fit the bill.

1- Shady corner. I have a shady corner of my yard that is under a few trees, and I have a hard time getting the grass seeds I've used to grow there. So I need an extremely shade tolerant variety.

2- random or incidental bald spot: I have a few bald of bare spots in the yard, due to leaf piles sitting too long and killing the grass, or where I dug a stump out and there is a big dirt patch, that kind of thing. So I need a product that I can just toss on bald or bare spots, water it in, and get some grass to grow and fill it in.

3- I am lazy. I don't want something I have to rake in and water every day and cover in straw and really baby. I want a product where if I toss it out, water it every couple of days for the first few weeks, it'll more or less take care of itself and I'll have grass there.

Does such a miracle product exist?