A question about the music for the Horse Capture scene in Seabiscuit (2003)

I have a question about what I hear before the guy chases the horses (and captured one) three or four minutes into the 2003 movie Seabiscuit (which is my favorite horse movie);

Was it just you and/or me, or do you and/or I hear a Native American flute before the guy chases the horses (and captured one) three minutes into the 2003 movie Seabiscuit? You know, the Native American flute that can be heard at 03:27 to 03:34 and again at 03:41 to 03:48, if you have seen the movie Seabiscuit?

I cannot find it anywhere, not even in the official soundtrack release for Seabiscuit! There is also a stigma about official soundtrack album releases: that they leave out so many cues from the music scores for any film!

Thanks for your answers in advance!