As a software developer living in Argentina I'd advice against it based on local statistics. The software industry down here employs about 155k including designers, community managers, testers, etc, etc. And out of those about 1500, or 1% are related to the gaming industry. IIRC there are about 100 game companies here, so you are greatly limiting yourself by targeting such a niche segment. Going indie? Yes, it's a possibility but what is the percentage of an indie getting a big hit like World of Goo, Flappy Bird, Slay the Spire or Balatro? Finally, the development side has quite a lot of drawbacks (misogynist environment, low salaries, tight schedules that do not allow for good programming practices, lacks time for retrospective and you usually end up with bad code that cannot be refactored because you shipped and got to be preparing the next project.
By the way, at 16 it's already kind of old for taking that decision, I kind of feel that for gaming they already mention they want to make games all the way back at 10, and if they had been programming by that age then it would be a different matter. If they just start at 16 it means they might not have the passion for long coding nights and low salaries in them.