So there are two ways about this, one is you still have the printer working, attach the lcd and probe all connections using a logic analyzer. This in addition to what the display is displaying will give you enough info to reverse engineer the protocol of how to drive the lcd yourself. Second method is to google the model number (likely the 366S0... number not the 59.04...., that's probably a manufacture location/date code) of the lcd to hunt for that controller datasheet which you can then use to write your own driver. In either case it'll take some work.

I found some Logic analyzers and found some guides for how to choose one and found this one that looks like its pretty good from the manufactures mouth. Also all of their products are rated pretty high. Just curios if you think that this might be a good buy, or if you have a better suggestion.

  https://www.amazon.com/DreamSourceLab-USB-Based-Analyzer-Sampling-Interface/dp/B08C2GDFDW?ref_=ast_slp_dp&th=1&psc=1

I have also seen that flexible board on the back of the touch display, do you know if that might be a driver (pictures posted above)? I am thinking that it is just to combine the connectors of the LCD and touch screen to one, but I'm not sure.