Keep Calm and Carry On
You have to admire the sheer poker-faced aplomb of the true professional here:
Anyone who has ever shared a desk with me knows how paranoid I am about page-turns, and in particular about just the problem in the video. I haven't yet been reduced to steam-ironing a part, but I have spent several minutes effectively "breaking the spine" of an especially recalcitrant one. Hey, if a page seems likely to fall out, you stick it back (using tape like stamp hinges). If all else fails you photocopy the second page.
But it isn't always alright on the night, and the Finn here has the emergency drill down pat. Keep smiling through, play something random and plausible, await rescue by conductor or colleague.