SLOUGH, England — “We’re sure we’re doing something that no one else is doing,” said Lisa Henson last August .

She was in a conference room in the newly opened studio complex, just outside London, that served as the home of Netflix’s ambitious prequel series “The Dark Crystal: Age of Resistance.” The walls were papered with maps, photographs and sketches, and the table was laden with a plastic diorama of a mythical city. Just down the corridor, 48 puppeteers were gathering: a core team of 12 and an extra 36 brought in for the day’s shooting. “It’s the biggest puppet production ever mounted,” Henson said.

That’s a difficult claim to fact-check, but if anyone would know, she would. As the daughter of the Muppet impresario Jim Henson and as the chief executive of the entertainment company he founded, she has been around more puppet extravaganzas than most people, including “Sesame Street,” “The Muppet Show,” “Fraggle Rock,” “Labyrinth” and more.