Pure BS. SS is wealth transfer scheme (aka as welfare) and cannot go broke. It takes from current taxpayers and gives to current recipients. All taxation and benefits are political calculations.
To imply that SS can go broke implies it has legal binding obligations and that revenue is static. It does not.
SS holds US Treasury bonds. Which are redeemed via current tax revenue. It is a shell game.
Do yo feel it’s better to take check at 62 and continue to supplement, part time etc, or wait as long as possible?