Truth will rise above falsehood as oil above water.

A lie has to be held in place. Someone has to keep telling it, keep matching it to the facts, keep others from comparing notes. Truth needs none of that upkeep, so given enough time and enough stirring, the difference shows. What looks like a fair fight in the moment is usually just a question of who can sustain the effort.

When something feels wrong but you cannot yet prove it, you do not always have to force the issue. Keep an accurate record, ask the same question a second time later, and let the inconsistencies find each other. Patience is doing real work here.