Am I doing something wrong?

What I would recommend is, talk to folks in big tech, ask them what are they working on. Similarly ask people in startups (a bit more scaled up startups and bit more scaled down as well(in terms of funding rounds)). Figure out what excites these people to work there.

Analyze yourself and figure out what you are looking for, and go for it

What's the rush? 8 months is too small time frame to decide anything.

Take some time spend 2-3 years in startup (this or other one doesn't matter) then think of joining big tech.

You have good DSA skills, won't take much time to be interview ready, take ownership build products. Once you join big tech you will end up working on a small part of some project.

That's definitely an interesting profile that you have got there. Since you've been in startups, I'd suggest to move to an established startup which pays you more. Spend 4-6 years of your early professional life, because that's where you'll learn the most. You can easily enter into system design discussions too which you can't find in Big Tech for your experience level.

Definitely you should try to get into big tech companies.

If you think you can have a stable life, earn enough and have a job at a leading tech company then you should spend wise time searching for a better startup that aligns with your willingness, expectations and has product ownership.

Anyway, I would suggest joining my friend early startup as founding members (if you like) at the poc stage if you like. He is building a self-sustaining and scalable model a bit similar to airtasker/taskrabbit for the Indian market and consumers. Spoiler. He is kind of a strong imagination believer, innovative kind.