Payload stuck in place?

[Minebot45]

"Why is the cart not moving?!"
Click to listen
— The Spy regarding the map in its current state

There exists a version of Badwater where the cart moves ten times faster, but unfortunately it's seemingly no longer available on the workshop. Frustrated, I downloaded Badwater off of the decompiled map thread, opened it up in Hammer, adjusted the cart's acceleration and speed values, ran it in TF2...aaaand the cart doesn't budge when I approach it.

Anyone know what I did wrong? Attached are both the original map and the variant I made that's supposed to be way faster but isn't.​

 

[Cyberen]

Compare that to the entities in the payload game mode here: https://tf2maps.net/downloads/all-gamemodes.1575/
There should be entities controlling the pushing of the cart, a trigger around the cart and it being linked to a path_track in the map.