DIY rough-in design and venting question

[Usafexplorer]

Installing a bathroom with a shower, floor drain and washer drain. The rough-in does not require an inspection but I still want to make sure it's correct to IPC. After hours of searching and reading I'm struggling to comprehend the venting to make this work correctly, please feel free to inject your feedback as necessary.

Purple = 3"
Black = 2"