I see the pro controler listed in the rules:
# Nintendo Switch Pro Controller over bluetooth hidraw
KERNEL=="hidraw*", KERNELS=="*057E:2009*", MODE="0660", TAG+="uaccess"
But the regular one seems to be missing:
[301891.672726] input: Nintendo Switch Right Joy-Con as /devices/pci0000:00/0000:00:14.0/usb1/1-14/1-14:1.0/bluetooth/hci0/hci0:256/0005:057E:2007.0039/input/input110
I think the same rule as above should work just changing 2009 to 2007?