If you want to use the Lee case lube that you have, here is what I do.
I have a small spray bottle, probably 4 ounces. I squeeze about an inch of Lee case lube (the white waxy stuff) in.
Then fill with 99% Isopropyl Alcohol (available at your druggist, or on Amazon).
Shake shake shake.
The Lee lube won't dissolve, but it will go in to suspension.
I pour out some cases on an old cookie sheet, spray a few strokes from the mix over them. Let the alcohol flash off for a minute or two.
Roll the cases around on the sheet, do another few sprays.
Let it flash off.
The cases will have a wax coating on them. Works fine, no mess. No need to clean the wax coating off. Just load and shoot.
