SpaceX wants to catch returning boosters before they land

SpaceX is exploring a novel approach to landing its future reusable rocket boosters. Instead of using built-in legs like the Falcon 9, the Super Heavy booster will be caught by the launch tower arm using grid fins. This method, still under development, aims to save costs and reduce turnaround time by eliminating landing legs. The Super Heavy booster, featuring up to 28 Raptor engines, will be the largest rocket stage ever built. The landing sequence will involve engine use for descent control, with grid fins doubling as catch arms, allowing the rocket to hang without touching the ground.

What role do the grid fins play in the new landing strategy?

What advantages does the new landing method provide according to the text?