I still think the middle note is as depicted in my image; one 1/16th note after the second beat. The key is that they are 'laying back on the beat' (meaning late or relaxed).
I do not think this would be a triplet, that's too much, more of a relaxed 1/16th .. but that's just me.
I still hear it as depicted .. probably better attempted in a DAW as mentioned earlier.
Better chance for success in Realband or such .. or just getting someone to play it while you record it. It is a unique (nice) feel, and not that hard to play.
I don't think I'd try to generate this because of that. I'd record a few sections and assemble it if it were me.
Sorry, I know it's not the answer you were hoping for, but (I think) the best path to success.

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Make your sound your own!