Product to eliminate background noise during Zoom calls?

A big problem with Zoom calls is that people with any background noise put their mics on mute. Then when when you ask them a question there's a 2-second pause while they figure out how to unmute before answering. Or worse, they start talking without realising they are on mute.

Suppose that a user has two microphones - a headset microphone and a microphone built into their laptop. Is there a software product that would do noise-cancellation of background noise by taking the headset mic signal and subtracting the in-built mic signal? That would allow the user to leave their mic on without adding background noise to the Zoom call