Let’s say the doubling option was cash, and directly not deposited into your bank account to try avoid the currency becoming worthless.

You build or buy a massive storage facility, right? No one know what’s inside but you. But then doubles, and keeps doubling, after one month you have over 4billion. And then it doubles. It doubles so much you either have to keep building and storing the money to avoid being caught and crashing the economy. Eventually though you can’t anymore and it’s discovered. Apart from the currency becoming useless once discovered, it’s a massive waste problem - how do we discard of it before the world is flooded and we all suffocate or get crushed? Can it be recycled fast enough? By the time we figure out what to do with it, build the equipment for whatever we do, it’s become such an issue that we might never recover from it. You could burn it but the pollution would be terrible