OK, a check of IMDB shows it in Dean’s filmography but not in Reagan’s.
I watched it on You Tube.
Reagan seemed to enjoy doing the introduction of young James Dean as a bright young talent. The Doctor played by Reagan was a tightly controlled character, older, wiser. JD was given a wider range, from swaggering, vicious, to outright tears over the death of his friend.
Dean was indeed a bright young talent.