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Is the trim stained wood with a poly coat over it? If so, then you will want to sand it down first, just enough to rough it up a bit. Wash it down with mineral spirits and remove any "foreign matter." Then prime it with something like Kilz or BIN. Personally I like the Zinsser 1-2-3 primer myself.
All this may sound a little daunting but if you don't prepare properly, you can easily end up with chipping paint that will not be remedied.
After all is painted, think about wiping over the painted trim with a glaze that will make it compliment the paneling.
I've primed and painted a bunch of paneled dens and family rooms for clients with Duron "Ozark Green"...name stinks but the green is awesome. I used it in one of my own homes as well..