Oh I unsderstand. You mean that when you START THE FLOW for the 1st time it shows a Quick Tile, and when you START THE FLOW (parallel) for the 2nd time you want it to stop the 1st flow?
Each fibers starts with it's own variables so your 2nd flow doesn't know the name of the 1st one. You have to take care of the concurrency (sharing information between various fibers and flows). Use either Atomic variables (they are global for all flows, but every time flow has to save it to global and read it from global), Variables give/take, Cloud, Broadcast or saving information in a file in phone storage. In your case best would be Atomics or file.