Of course you can prove something does not exist. It's illogical to presume otherwise.
I think you've established you made it up.
Wait, what? Santa Claus and Easter Bunny don't exist?
If they don't and it's made up, that will be easy to prove.
You say, "But if something DOES indeed exist for certain, that is simple to prove with empirical evidence."
Same is true for something that does not exist. Empirical evidence. Which you don't provide, or have, in your claim there is no manufacturing equipment at the Tunica plant. Same as not having evidence to support its existence.
You may think Michery is lying, and he may be, but that there is no equipment and there won't be production from Tunica is conjecture, deduction, bias, even theory, yet as fact is fabricated truth, until proven.