How to break into FO IB in India from a IB team extension role at a large Asian bank

Hi. I will start working in a IB team extension role at a large Asian bank's office in Mumbai starting next summer. In a nutshell, I will be assigned to a team in one of the bank's global offices and I will be assisting this team remotely on whatever deals they're working on. It essentially is a BO role but the exit opportunities are decent. Most analysts from this team have either moved to one of the bank's global offices for a FO in 1.5-3 years or are integrated into the bank's India coverage team. Some have moved on to places like GS, MS, SC and others to top Indian IB firms like Edelweiss, Avendus etc.

Background information: I have an undergraduate degree in engineering from a top 3 school in India (my GPA is fairly average though) and a masters in economics from a top 2 program in India.

I'd be grateful if someone working in the Indian IB industry could shed some light on the following things:

1.) How do I go about securing a FO position in a top BB(MS,Citi, GS etc.) as soon as possible?
2.) I've been told that some Indian IBs (like Kotak Mahindra) offer FO position to 1st year analysts in this group. As far as learning goes, it would make sense to move to one of these firms rather than sticking to the BO role but I'd like to know how this could impact my exit opportunities into PE. Do US megafunds recruiting in India consider hiring analysts from the top Indian IB firms like Avendus, Kotak etc.?
3.) How can one break into the HF industry starting from an IB analyst role in India?

Thank you.