Mechanics of a grappling chain

If I grapple a creature that is already grappled by someone else and pulls them away, are they freed automatically? Or are they dragged along?

Same question if I grapple the grappler instead.

Let say nobody has the Telekinetic feat. I'm only using the forced movement from the fact that you can drag a creature that you're grappling as you move. And no, there are no contested checks in 2024. They've all been removed. So the rules here are uncertain. That's why I'm asking.

Yeah, the RAW doesn't outline anything about maintaining the grip against an opposing force aside from an escape attempt by the grappled, and it does explicitly say that the condition ends if the target leaves the grappler's reach. Ergo, by RAW you can attempt to grapple a friend, they can choose to fail, and the friend can pull you free. Rather cheesy, but seems to come together.

Personally I'd suggest DMs call for an escape check with advantage and/or allowing the two to pick the character with the better mod for the roll if there's a size category difference in favor of the grappler, but that's just a personal take.

I like the idea... The house-rule could be: "When 2 grapplers fight over the same target, they make a contested Athletics Check to determine who keeps hold of it. The target can use their Reaction to make an escape check with Advantage against one of the grapplers as they use the distraction to get loose. If the target succeeds the escape check against one of the grapplers or if a grappler fails the contested Athletics Check, their grapple ends".
Or something like that :)