Demi Moore continued her strong awards season run for “The Substance” by taking home the SAG Award for outstanding performance by a female actor in a lead role. The victory was Moore’s third among the major Oscar precursor ceremonies. She previously won best actress prizes at the Golden Globes and Critics’ Choice Awards.

“This is extraordinary and so deeply meaningful,” Moore said. “I was thinking about this night and I realized I hadn’t thought back to when I got my membership to this incredible organization. It was in 1978. I was 15, almost 16. It changed my life because it gave me meaning. It gave me purpose. It gave direction. I was a kid on my own who had no blueprint for life. I knew nothing about acting, but I watched and I listened and I learned from all of you. You have all been my greatest teachers. I am so...