Ankit, just out of curiosity why did you choose Ambitions Aviation Academy? Is it just a location preference or do you know that Ambitions is genuine in their operations? Also, since Ambitions only operate single engines, I presume you're only going for a single engine IR on your Indian CPL? If you don't mind me asking, what was your reason to opt for a single engine IR over a multi engine IR?
In answer to your question, Teja has already said in a previous post in this thread that the DGCA paperwork can take 1-2 months. As has been said by many people on this forum, recency flying in India will be a hassle.