switching usb mic between computers

Hi, I am relatively computer illiterate, so any help would be appreciated.

I recently ordered an m1 mac mini. My monitor arrives tomorrow. What I am hoping to do is have my mac mini and my work laptop (HP elitebook) connected to the same monitor. I hope to purchase the synergy software to allow me to switch between computers with my keyboard and mouse. Due to a physical disability, I have Dragon Naturally Speaking loaded on the HP. Currently I use a usb Yeti Blue mic. Is there a hands-free way (or equipment I can purchase) that will allow me to switch the mic between the mac and pc?

Thanks for any feedback.