It's not that this last part is so funny, it's what he's describing the staff did and explains how they've made it available online for everyone. Take a look at the report -- with a bonus after.
And as a bonus, here are two minutes of what he's describing at the end.
They really, actually did go to the lengths of doing this all and put this additional footage online. There's about 10 minutes of it -- no sound, it's just raw footage for TV stations or websites to use under the real audio from the Supreme Court, with different actions to use from each of the justices, along with shots from the courtroom and the oral arguments.
This is their sequence on Justice Samuel Alito, Justice Stephen Breyer and just the beginning of Justice Ruth Bader Ginsburg. It all goes on for another eight minutes, and though without a hint of sound, is just bizarre and at times laugh-to-tears funny.