A way to do so without re-inventing too many wheels is to expose the runtime of the scrcpy snap to scrcpy-buddy via the content interface, along with some runtime environment adjustments this should allow the application to make use of it as if it is installed natively.
A prerequisite for that to happen is that the runtime provider and consumer snap must use the same base snap, which is already met (core24).
I can work with you to make the necessary changes at my part.