Hmmm?
I'm not allowed to do it, but as 'suggested', the whole list, in that order could be mixed as a 'MASTER-MIX!'
In fact - if the 'hirer's want that list in the exact order without the experience and crowd reading skills of a DJ - tell them to get a

jukebox!!!!
Even with software like PCDJ, it's a lot of sodding about!
Perhaps, the client is providing a playlist of desireable songs from certain artiste's?
(in other words, if you're gonna play music Mr or Mrs DJ - I want a selection from this lot!!!)
If this is the case - what a doddle!!!!!!!