@emily_d232
Thank you for posting on HP Support Community.
Don't worry as I'll be glad to help, to get the answer to this question, it's not possible to use different dongle which is not intended to use with this mouse.
As we have limited support boundaries in the support community as of now. I would request you to contact our Support and our Support Engineers should be able to sort this out. HP Support can be reached by clicking on the following link: www.hp.com/contacthp/
Please feel free to contact us here anytime you need any further assistance. Please click “Accept as Solution” if you feel my post solved your issue, it will help others find the solution.
ECHO_LAKE
I am an HP Employee