The Puppeteer is Don Sahlin The Muppets co-inventor not credited in the movie, more below

The puppeteer in this clip is Don Sahlin (June 19, 1928 in Stratford, Connecticut – February 19, 1978 in New York City) was a Muppet designer and builder who worked for Jim Henson from 1962 to 1977. His first creation for Jim Henson was Rowlf the Dog, which he built in 1962 for a series of Purina Dog Chow commercials. Don would go on to design and build most of the Muppet characters, including Bert and Ernie, Grover, and Cookie Monster among others. His character designs are often recognizable for their spheroid heads partially bisected to create large mouths. Although always based on sketches by Jim Henson, the Muppet founder regularly stated that it was Don who should be credited with creating the actual Muppet “look”, and Henson later had a bench in London dedicated to his memory. The series finale of Fraggle Rock is also dedicated to him. After all the regular credits have been shown, a special credit appears which reads “This show is for Don Sahlin”.