Good news!
I'm not exactly sure how, but I somehow fixed the Yoda. I took the keyboard back apart yesterday and started taking a closer look at things.
I initially thought the the soldered connection on the plug for the red wires on the trackpoint PCB was bad, but in the end it was fine.

Below is the wire I pinched. Which, also ended up being fine.

I had some issues with the trackpoint module and the 3 button module intermittently cutting out after about 10 minutes of use.
I have disassembled and reassembled this board about 5 times scanning for issues. I noticed a few cold-soldered connections on the RMB and LMB so I desoldered 2 pins and resoldered them -- 1 on the LMB and 1 on the RMB.
Note: I'm not sure why, but getting solder to flow well on the 3 button PCB was damn near impossible (even with loads of flux). I noticed the pads and PCB material looked different on the 3 button PCB compared to the main 61 key PCB. The main keys soldered in like a dream. I only used flux on the first half of the keys before I realized it soldered fine without it.
The only other thing I did was roll the pinched wire around in my fingertips and got it back to looking semi-round.
I'm not sure what exactly led to the trackpoint to start working again (or stop in the first place). I don't know how having bad soldering on the 3 button PCB would affect the function of the track point itself as it functions 100% with the 3 button PCB disconnected. Ultimately, I'm just glad it works again. I love this keyboard!
Here it is complete! 62g Zealios for the keyboard and 62g Zealiostotles for the "mouse" buttons. (taken on the Potato S6)

Lastly, big shoutout and thanks to justin.wu at Tex. It's awesome that Tex is not only part of the community, but backs their products "no-questions-asked" (even though my problem didn't escalate that far).