I thought everyone was installing pivot pins this way.
Often when people go to install the pivot pin, they end up launching the detent across the room and losing it. There are a variety of tools made to try and make this installation process quicker and simpler, but they are not as quick and simple as this process.
Youtuber “AR-15 Tech Tips in under 5 Minutes (Click Here)” shows how to install the pivot pin without any tools.
Give it a try next time.