Question regarding 2 deathadders in synapse

Hi

So I have a situation where I have a razer deathadder croma and I'm about to be given a second one as its too big for my partners hand. one is plugged into my computer upstairs. the other one I intend to plug in to my steam link downstairs. So when I turn the steam link on using anywhere now the pc will detect 2 copies of the same mouse connected.

Will my computer play nice with this? and will synapse be able to handle this? or do i need to make sure the mice are different models and just buy a different one instead of using the one I'm being given