Maybe this is clearer: https://www.edn.com/how-an-lcd-controller-drives-an-lcd-glass/

 

The 16LF19155 seems to be readily available for only a few dollars and incorporates an lcd driver for static or multiplexed displays, as well as being much more capable than your chosen 12F508.

 

I am missing something important and I have no idea what.
This cct is working fine in Sim.
But in Reality is working with errors. Some other segments litting up and doesnt show anything on 3V, only on 5V. For all those gates I suppose.
It is trying to do the right thing in Reality. But is doing it with bugs.

For this one I had to change the code a bit. I know it is working, I can see it working, but with bugs. Those I can not understand from where are coming. Very misterious LCD device.