There are 3 non-overlapping channels for 2.4 GHz wireless: 1, 6 and 11. The ones in-between have some degree of overlap in frequency space.
This is only true for 20 MHz bandwidth channels. Some routers allow 40 MHz channels (called Mode 300 Mbps on my Netgear router, also perhaps called Wide Mode, or something else). Wider channels imply more overlap, so use 1 and 11 if using this mode.
You may have seen this, but it explains that Logitech mice don't use a fixed channel. They search for an empty channel.
https://forums.logitech.com/t5/Mice-and-Pointing-Devices/Unifying-receiver-interference-with-WIFI/td-p/843472 So perhaps the channel width is the key here. I don't know if the power setting you talk about is the same thing or not.
Cheers, Peter.