Thanks for reaching out to the Community. I am very sorry to hear that your QuietComfort 35 II Headphones may be interfering with your Apple Mouse. I would like to do what I can to assist you with this.
Can you please inform us on what device you have previously updated?
I would firstly suggest performing a reset of your headphones. Instruction on how to do this can be found below.
Turn off the headset and wait 30 seconds
Plug the headset into a wall outlet using a USB charger, then wait 5 seconds
Unplug the USB cord from the headset and wait 1 minute
Turn on the headset
Please let us know if this provides any improvements.