In my opinion, if you want to be a professional pilot, go for pilot training. If you want to be an airline manager, go for the management MSc. Or, pursue an aeronautical engineering career.
But, right now, pick what you want to do with the next 5-10 years and throw everything into that. It's time to make a decision, not keep hedging your bets.
You are too young to worry about age.
Changes are possible later, but if you want to manage pilots, first be a very good pilot. If you want to manage engineers, first be a very good engineer. Going straight into a management degree is a route into business management, not functional management.