Series 4 Watch w/ cellular- + Peloton Outdoor audio

Hi- I'm getting a Series 4 Watch w/ cellular. I use Peloton and have just started the "Outdoor" workouts. I'd love to run to an Outdoor workout using only my Apple Watch (with cellular), and not have to carry my phone. Is this possible? That is, will the Peloton app work on my watch and stream the audio?

Thank you.