Audio input switching, turning stereo to mono, etc.

Snowman815901:
The main, unsolved, problems I have here are:

A) How does one convert a stereo audio signal to a mono audio signal and,
B) How would one "split" a stereo audio signal into two branches with one branch preserving the stereo and the other being converted to mono with neither interfering in any way with the other.

Can I simply (and safely) tie the left and right of the stereo signal together to make mono? If so, it seems I would need to somehow isolate the two "branches" or else the branch that was intended to remain stereo would basically become two lines of mono.

Once I solve these two issues I should be able to use a handful of SPDT relays to swap around the circuitry along with whatever solution I settle on to make all of this happen.

I'm very new with adding audio components to my projects and new but slightly less so with electronics in general so any help that you can offer is highly appreciated. It will also earn you a place on the credits page of my complete project!

Stereo to Mono is easy enough, just use the circuit in the attached image.

Passive Summer.png