Amazon.com: Logitech M585 Multi-Device Wireless Mouse …

No matter the drivers used. the bluetooth detection part of the mouse is a hassle sometimes not detecting for about 10-15 seconds. ideally if you wanted seem-less connection to both computers buying or using a 2nd universal receiver would be the best choice. both the laptop and PC are quite new, laptop within the last 4 years, PC built this year.

https://www.amazon.com/Logitech-Wireless-Multi-Device-Cross-Computer-Graphite/dp/B072M4YLN6