You can use Quikrete sand topping mix and add a little sand to it, I use that sometimes. After you have it packed and pitched properly, after it dries over night you can install tile over it.
The key is going to be verifying that the liner, or whatever waterproof layer is under the deck mud, is still intact with no holes. You'll have to be very careful not to damage it when you take out the existing deck mud.
So that you don't do all this upcoming re-install for nothing, once your demolition is finished you may want to do a flood test and check for leaks.
We're here to help with any questions you may have, and there are plenty of how-to pics on the site.
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