I don't think go pros are rated for the temperatures reached during takeoff and in space. Also the forces of takeoff and air pressure might cause issues too.
We duct tape a Stretch Armstrong to the rockets, and once Sr. Armstrong reaches his limit, he'll snap back and pull the Earth closer to the moon because there is no gravity in space, thus making future launches cheaper and quicker.
Señor Armstrong? I have no idea why I love that so much. It immediately elevates him somehow in my mind. “Introducing Señor Aureliano (Stretch) Brazo-Fuerte!”
There are less guarantees regarding life time due to radiations, but they are surprisingly good on this and the one in the link still work to this day (525km orbit)
I also wonder what bandwidth you have available to stream the videofeed back to earth.
Afaik The original Apollo 11 used some low res, low fps tv format that had to be converted on earth, because they didn't have enough bandwidth to stream full tv resolution at the time.
Oh I know this one, the Apollo 11 cameras were 320 scan lines at 10fps with an optional high res setting of like 1280 scan lines at 0.625 fps. Not sure on the second setting but the first one I'm positive about.