competitively
In a way that tries hard to win against others.
Competitively means doing something in a way that involves trying to win or be the best. When you play chess competitively, you strategize, study your opponent's moves, and work hard to win, bringing serious focus and effort to outperform others. When someone prices their product competitively, they're setting a price that can beat or match what others charge.
Doing something competitively means bringing that winning mindset to it. A student who plays piano competitively enters contests and works to perform better than other pianists. A store that operates competitively constantly works to attract more customers than its rivals.
You can do almost anything competitively if you approach it with the goal of excelling against others. Some people play video games casually for fun, while others play competitively, practicing daily and entering tournaments. The difference is the seriousness and intensity you bring to the activity. When you do something competitively, you're measuring yourself against others and pushing yourself to improve your performance.