act out vs take the part of

act out

verb
  • Used other than figuratively or idiomatically: see act, out. 

  • To express ideas or desires through actions rather than words. 

  • To perform a scene from a play, a charade or an exercise. 

  • To perform a fantasy in reality. 

  • To perform something specific. 

  • To express one's feelings through disruptive actions. 

take the part of

How often have the words act out and take the part of occurred in a corpus of books? (source: Google Ngram Viewer )