The final published copy of The Ultimate Coach was not ready in time for preparations for sending to the Moon aboard the Peregrine Lander.

However, a copy of Steve's document (included in the book) was prepared and included in the manifest for the Peregrine Lunar Lander, to be launched from Florida in 2022, via a United Launch Alliance Vulcan Centaur rocket in the VC2S configuration.

NASA: Peregrine Mission One

Astrobotic: Full details on Peregrine Lunar Lander

Wikipedia: Full details of payload and other context

You can read more about that mission above, and the actual document sent to the Moon is below...