The problem is Congress. If we increase taxes, will Congress use the money on the debt? (Arguably that would also fight inflation.) Or would they just spend the money on more programs? That won't do anything about the debt, and it also won't do anything about inflation (because the same amount of money is being spent, the only thing that changed is who has it to spend).

Well, knowing Congress, which do you think they're going to do?

I suppose that kind of cynicism means that Congress can never do anything to help with the debt, or to help with inflation. But, frankly, I don't trust them to do the right thing with a big new pot of money.