rastarokot

I encountered a problem when rigging the man lift crane. I figured out how to make a rig of a simple hydraulic piston and attach it to the rest of the rig (thanks to mestela [www.sidefx.com] and his explanation here:
https://www.sidefx.com/forum/topic/81645/?page=1#post-351623).
Вut I don't understand how to make a "double piston" scheme (I don't know the correct term). I've depicted the scheme and animation in a quick manner here:
https://i.giphy.com/v4RjyQFV3dd7Q1Zg7I.webp [i.giphy.com]

Judging by a Google search, an excavator bucket has a similar mechanism. It has some kind of common center for connecting two moving parts, which moves back and forth along two axes, not one.
https://www.youtube.com/watch?v=cm7OP3niwvI&ab_channel=LeeMinardi [www.youtube.com]

How can this be implemented?

On the left is the result of my render in the viewport. And on the right - in the Chaos Player (without or with default aces correction). Similar results are obtained if I open the file in MPlay.
How can I achieve the same look as in the viewport? What transformation and how I need to apply?

I've run into sample problem recently, have you managed to find what caused such freezes?