The circuit and code that allows the Raspberry Pi to control an RFID reader/writer is now working.
I had to solder leads onto the reader/writer board, but that was the hardest part of building the circuit. It has been some time since I did any electronics-type soldering. Having older eyes makes it a little harder. I found a magnifying glass to check the results and everything looked functional. Most of the leads had nice catenary cones of solder and the rest weren’t too bad.
Writing the code was pretty straightforward. I found some example code from a person who made an RFID attendance system, then modified it to suit our needs. It reads all three types of RFID tag I had available. It can write to the tags, as well. I discovered that I cannot remove the original tag number encoded in the chip. That isn’t a terrible problem. We will just ignore the first number on the chip when we read it.