Madame
You'ld probably need a custom box if you are intending to include the LWB with the deck. The boxes which can be ordered from places like MPC along with the cards themselves are a set size that only holds the cards.
Admittedly, they may also do custom boxes -- I didn't investigate that.
Yes, definitely keep this in mind if using MPC to print your boxes (or any of the other companies like this). It does seem like there would be just about no leeway to be able to insert a little booklet... unless you don't mind a bulging box.
Which you probably would/should mind because of issued people have with closing tuck boxes... or even KEEPING tuck boxes closed.