old WWII 32nd Infantry Div officer's jacket/tunic w/Red Arrow patch

Old, World War Two vintage officer's uniform jacket or tunic from the 32 "Red Arrow" Infantry Division of the United States Army. This jacket is khaki tan and light weave. We've been told that this is probably part of a summer or tropical uniform as the 32nd Infantry Div. fought in the Pacific theater against the Japanese. This has a hand-stitched red arrow insignia patch on the shoulder and is marked as size "38R" This tunic measures 16 1/2" long on the arm (armpit to cuff), 39" around the chest (under the arms), 17 3/4" across the shoulders on the back and 28 1/2" long (from the base of the collar to the bottom of the tunic). It is in good condition with all of the buttons.