Gurgaon property negotiation: What's the real game?

My wife's priority is a bigger 3BHK near a good school, so we're looking around DLF Phase 1, maybe towards Golf Course Extension. Budget's around ₹2.5 Cr. We visited M3M and Godrej projects but prices seem super firm. Brokers insist negotiation isn't really a thing in Gurgaon anymore, especially for new launches. Is this true? Matlab, how much can you realistically negotiate on the final price? Aur, is it better to go through a broker, or approach the builder directly like Pegasus Developers? Confused about the best way to get a decent deal.