How to bake a ocean modifier loop?

Hi, I’m trying to make a large scale ocean loop in blender. I did a basic loop with 2 ocean modifiers and now want to bake the loop so I can use it as a displacement map sequence to displace a large disk.

The problem is that Blender only gives me the option to bake the modifiers separately. My Sequenz is 120 frames long so I tried to bake the first ocean from 1 - 59 frames and the second from 61 - 120 frames. With that method the ocean loops at the end of the sequence but at frame 61 i have a big jump in the animatiom.

I also tried to bake both oceans 120 frames and mix them with a mix rgb node but that also didn’t work.
I’m using Blender Version 2.93.0

Because I’m a new user I can’t upload my blend file, so here is a google drive link with the file:

I have a realy tight deadline with this project so I would realy apreciate if someone could help me with that.