If your intercom is mono, you have a few options:
1. Take just one channel of the music input (usually the left channel--the tip lug--is taken, which has the side benefit of allowing it to still work should you ever plug music into the jack with a mono plug). Leave the ring lug un-connected. Simple and easy, and probably sufficient for basic in-flight music, though you may notice something "missing" from stereo program material...
2b. Combine the left & right into mono--the audio guy way...wire the jack with a summing network to create a mono signal from your stereo input.

...ignore the output jack on the right side -- those two wires would go to your intercom, rather than to an output jack. 1/4 watt resistors are fine, and you'll never notice the difference in this application if you use 5% instead of 1% tolerance. There will be a loss of level with this method, depending on your intercom that may or may not be a problem.
2b. Combine the left & right into mono--the
PS Engineering way...wire the sleeve lug (ground) to your intercom's music input ground, then wire both the tip & ring lugs to your intercom input's signal line. Easiest to jumper the two lugs at the jack and run one wire back to the intercom connector. No level loss on this method, but your audio device may not be completely happy with it.
Probably more than you needed...what's the old saying, "never ask an engineer for the time, he'll tell you how to build a watch"? (Not a real engineer, but I fit some of the molds

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