In the Jazz style. Alternates from straight 8th Latin/Bossa-based feel in the A sections to swing in the B section. Ensemble-oriented intro can have improv over it (see my demo below). The melody is fairly simple, but improv will be more advanced on this one, as there is no one scale you can successfully play with overall. Knowledge of chord spellings and the various scales that fit them is essential. Arrangement of the parts for this tune can easily be your own creation. I just played it through once in the demo. I may suggest using the intro between soloists too.
1) Improv over the intro can be done with an A “arabic” scale that fits both the A(add9) and Bb(add9) rather nicely. A, Bb, C#, D, E, F, G#, A.
2)Measure 11-13 starts a D major area, then a C major area in measures 15-16, before heading back to mostly A major.
3)The B section alternates between F7 (F mixolydian) and A major, which is the kind of thing I personally like, as there are so many 1/2 step movements between them that make it interesting I think. This type of thing can also be heard in the bridge of the famous jazz standard “Night & Day.”
4) Overall, you will most likely find it most effective to “play the (chord) changes” or, switching scales to match nearly every chord in this one. Slow practice will help you become free-er with this.