How to create grapple rope animation

Hello, I’m trying to make a game that has grapple gun. I made the grapple system working but I can’t wrap my head around the animation of the grapple rope when it shoots out.
I want to create an effect that when player use the grapple gun it will shoot out a rope and that rope should be animated like in this game.

Note: Currently my rope is just a beam that attach to the gun and the grapple point.

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