Do you mean the battery you have in the mouse?I'm currently using an ROG Keris wireless mouse, and I'm wondering if using the mouse wired can overcharge the battery and possibly break it.
Let's see if OP clearify further. If OP can elaborate in such a way that there in fact is reason to believe the motherboard in fact doesn't work properly in some way only when wireless mices are connected, then I'd ask for further details:
What motherboard/CPU/RAM do you have. Not long ago I stumbled over another thread where OP for some strange reason have an issue with wireless mice, but only on that particular computer. Worth a cross check if asking me.