When I play some disc-based games for the first time it will start by installing an update. This download takes a while and there is an option to bypass the update and play the game anyway. Is it ok to play a game while it is updating or should I just let the update install before playing the game?
A game update will only download while you are playing it. It is perfectly fine to play a game while the update is downloading. You will need to quit the game and restart it in order to install patch and it is impossible to play a game while the update is installing. There is no risk that there will ever be any issues playing a game while the updates are going on in the background.