Single point of light pulsing high over, believed to be low earth orbit.

3 December 2021 I am at the Brookneal airport stargazing. It is cold approximately 42°, the sky is clear with a good view of the galactic arm following civil twilight. The planets Venus, Saturn, Jupiter, Neptune and Uranus were all visible. Pluto is there but not visible of course. Just following civil twilight I observed a star link train passing from west to east. My first observation!
Starlink train faded into the shadow of the earth nearly directly overhead. I observed six satellites total during the evening. While tracking one satellite another crossed my view and I tracked it as well. I have observed three bolide meteorites. I have also observed the Andromeda galaxy.
A puzzling observation is this.
Directly overhead and not far from the Andromeda galaxy I observed a blinking light. It appeared like any other star however it was not a dim flicker like observed by the affects of red shift, however it was a very clear on and off like blink. The interval appeared to be regular to the naked eye and over the time of approximately one minute appeared to consistently display the same brightness. The blinking light faded from view and several minutes later returned with the same interval and intensity. However after several seconds of darkness, the blink changed to pulse. The scale of the light appeared to intensify to a peek before diminishing to darkness and then cycled through again. The color was originally bright white but over time faded to a light orange.
Over the course of time the position of the object relative to my position on the earth did not change suggesting a geosynchronous position above. The event lasted approximately forty-five minutes.
I thought this to be a piece of space debris tumbling and reflecting light.