What would you rather do later on? Move on to management or stay an engineer? (eg. building up knowledge in specific tech stacks).

Job titles don't may not mean much while you are at the same company, but once people review your CV, it's a BIG deal. Having a leadership experience opens doors like no other, both on the amount of offers and salary.

The catch is that you will be expected to have lot more soft skills - raw coding chops are not that important for an engineer, even less for a team lead. If you are up for this, and you feel fine at this company, it's probably worth to stay in the lead position for ~1y and then look around with your refreshed CV.