(-)while running is basically just a turn signal. When ground is present on that wire, the key-override-all activates. You need to hook that up the remote starter, which is why you see a little remote icon and this is shown on the top of page 2 in the installation guide.
Remote starter compagnie might have renamed that wire to their liking. It may also be called (-)status ouput, (-)ground-when-running, (-)ground-out and some other variations.
If you look at the remote starter wiring diagram and read their instructions i`m sure you will find which wire the (-)while-running needs to connect to onthe remote starter.