Except we already have a minimum tax worldwide - 0%. Perhaps every country should meet the others and offer 0% corporate tax. The solution isn't as simple as "minimum tax" as some places legitimately believe that corporate tax is not the most effective way to generate government profits (Wyoming and South Dakota at the state level).
Actually, we don't - there is no legal/treaty reason why a government could not offer a negative corporate income tax rate (at least in the lowest N-1 tax brackets), and we may actually see that if corporate abuse of political processes is allowed to continue far enough.
No, I'm saying that "this value is not allowed to go below X" is different from "the lowest current value happens to be X" and we have the latter, not the former.
I didn't claim to solve anything. Merely that a world wide corporate tax rate isn't as simple as everyone thinks. For what it's worth, a corporate tax rate doesn't prevent you from doing what you suggest. In fact, you are encouraged to do so to avoid the tax.