Hi Erik. We meet again
You have a single phantom-powered condenser mic with a 3-pin Cannon XLR connector? And you want to adapt it so it can plug into two inputs on a mixing desk or similar, and produce the same signal into each input?
I haven't tried this, so YMMV ("your mileage may vary"), and I'm not an expert on this subject.
Start here:
https://en.wikipedia.org/wiki/XLR_connector#Three_pin_-_audio
I think you can connect all three wires from the mic to corresponding pins on both connectors.
This will cause a small earth loop, so you might want to insert a 10 ohm resistor in series with the wires to pin 1 on one of the plugs that plugs into the mixer to avoid that.
Both mixer inputs will provide phantom power to the mic, but this shouldn't be an issue, since they both get their supply from the same voltage. The resistance between each signal conductor and the phantom power supply will be halved, because there will be two resistors in parallel. These resistors are typically 6.8 kilohms, so the parallel connection will reduce them to 3.4k. This may slightly increase the phantom power voltage at the mic, but it won't damage it because it's limited to 48V by the power supply itself. It just means that less voltage will be dropped across those resistors, leaving more of the 48V available for the mic.
The only possible problem is the input impedance. A balanced mic input has a (differential) input resistance around 2~3 kilohms. Connecting two inputs in parallel halves this resistance, down to 1~1.5 kilohms. The microphone needs to have an output impedance that's significantly lower than that. Do you know the output impedance of the microphone? They're usually around 150 ohms or less.
The microphone's output impedance and the input impedance that it's driving effectively form a voltage divider. If the output impedance is much lower than the input impedance, little signal is lost across the output impedance, and most of it is available at the mixer's input. This is how it's supposed to be. As the output impedance increases towards the input impedance, the amount of signal lost increases towards 6 dB. So you may have some loss of signal level. It's possible that the frequency response and/or distortion of the microphone could be affected too.