"The fact that she's coming to give us a week of her time β she could be doing anything β is a testament to the show that we have built," Bush Hager exclusively tells PEOPLE
Jost had never seen the jokes before reading them out loud to a live national audience β that included his wife β per the show's biannual tradition
"Every year I feel like itβs me and my father-in-law and weβre both doing dishes for half the thing," the 'Black Widow' star said on 'Live with Kelly and Mark'