STAGE MANAGER EXTENDED MONITOR

Hello, i’m using stage manager on my iPad Pro M2 and have connected to an external monitor. I am also using an Anker dock to connect the HDMI, power cable and my wireless mouse and keyboard. I am using a Logi keyboard/mouse set which is exactly the same as I’ve used at work for 5 years. The keyboard and mouse work great when hooked up to my office PC.

The problem I’m having is the mouse on my ipad set-up is all over the place, and I’m having difficulty working between the external display and ipad as a result. Are there better wireless mice options that work with IPad and multiple displays?