On this evening, 10/25/2020 there was variable visibility due to partly cloudy skies. the moon is just over half full. i saw an unusual pursuit between two aircraft. i live in hillsboro, nm not far from spaceport america. as i went out to my backyard to take a break from my work, i saw a bright red light move n/nw toward my location. the was another craft close behind with some white lights on its forward edge. the red bright light moved to my left so that its trajectory took it closer to my position and the other craft with the white lights was in close pursuit. it was a slow-speed pursuit of about ~250 mph or less by both of the craft. as the first craft arced from w to e i could see it had one bright red light on its nose tip and a dimmer red light on each outer corner. due to the cloudiness, i could not make out if the craft was airplane shaped or triangular. the second craft had what looked like four bright white lights on its lead corner or nose. the second craft made a noise that sounded like a jet plane of some kind. it looked like it also had a cluster of smaller white lights on its wingtips or corners. the cloudiness made it difficult to make out its shape clearly. the second craft was obviously in pursuit of the craft with only red visible lights. they made a second trip around but remained much further to the s the second time around. i did not see them make a third pass. this could be a part of spaceport america operations or something non-standard. i have lived at this location for about one a half years and have not seen this type of "exercise" before.