3 loops with different resonances, set up all at right angles, might be excited by a pulse. At least 3 detectors are needed I suppose.
As for processing the information I believe the modern solution would be AI, which for me takes the fun out of everything.
I like this concept, but you would still need three itsy bitsy teeny weeny accelerometers to measure the orientation of the twelve-sided die. So, add a CPU and a Bluetooth transceiver and,
voila! You now have an expensive RPG die with no need for three tuned "antenna" circuits.
I have been using Grok on X (formerly Twitter) quite a bit lately and find it is NOT a reliable source of information. Grok often gets things wrong, but it probably excels as a "search engine" if you ask it the "right" questions. Is this fun? Or is it just funny? I would NEVER trust a machine to make life-threatening decisions, like driving an automobile through rush-hour traffic. That opinion might change in the future, depending on AI's track record.