Ask HN: Learning tech leadership vs. growing as a developer?

I work in a startup which is growing at a steady pace. We are competing with some of the other companies in the market with similar revenue. Started working here right after college and was learning a lot of things on my way. I have worked on some challenging problems which make me learning and advance as a developer. In the past 4-6 months though, the shift has all moved to not just delivering release but to manage them end-to-end. We don't have any tech leads in the company and this is an expectation from individual developers like me, about 1 to 4 years into the industry to run the project, not just develop them which includes talking to customers, defining a plan, and executing it while also developing it usually in team of size not bigger than two.

This is the only workplace I've worked at yet. And I'm confused if whether to grow as a tech lead yet when I still want to learn to better and bigger software with good architectures and good code quality. Should I take a detour and focus on learning project management?

Is this also even advisable to learn project leadership of this sort?