The title on the script Benjamin is reading is visible on cover page as he enters CBS Television City studio, then disappears (blank cover) as he walks past receptionist's desk, then reappears when he goes backstage.
Old stock footage of audience during TV production number don't match the auditorium as seen in earlier shots and all members of audience are dressed in fashions 15-20 years before early Sixties setting of show.
Although the script that producer is reading is clearly titled "The Pete Martin Show", the star of the show is called Pete Marlin and that is how character is listed in credits.