Hey mate!

From what I can see the keyboard should work fine, pretty much any wired mouse or keyboard will work with the consoles it’s only Bluetooth devices that can run into issues. as for the basilisk V3 Pro I would think you should be fine to use it however, even on a computer some games get annoyed with the high polling rates and I need to adjust them in synapse to be able to play. So, I would recommend getting a wired mouse but if that isn’t an option then you might just have to wing it to be honest.