“Parks and Recreation” star Aubrey Plaza has joined the cast of Roman Coppola’s “A Glimpse Inside the Mind of Charlie Swan III.”Youree Henley is producing the indie pic, which stars Charlie Sheen as the title character, a successful graphic designer whose fame, money and charm have made him irresistible to women. When his girlfriend breaks up with him, his life swirls into a downward spiral of doubt, confusion and reflection. Through delirious fantasies involving his many failed romances, he begins the hard road of self-evaluation to come to terms with life without her. Plaza will play Marnie, a producer who works with the protag at his company Swan Design. Coppola’s cousin, Jason Schwartzman, co-stars in the film and previously worked with Plaza on “Funny People.” Plaza, who appeared in the fall festival pics “Damsels in Distress” and “Ten Year,” recently wrapped the indie comedies “Safety Not Guaranteed” and “The To Do List.” Thesp previously starred opposite Michael Cera in “Scott Pilgrim vs. the World.” Plaza is repped by CAA and 3 Arts Entertainment.