Upgrading to a 3BHK for the family, budget stress is real

Since January I've been shortlisting flats in Gurgaon, it's getting crazy expensive. Kids are growing up, so my wife is firm on a 3BHK near a good school, maybe SPR ya Dwarka Expressway side. My budget is around ₹1.8-2.5 Cr. Honestly, I'm confused between stretching for a 3BHK or settling for a large 2BHK. Does a 3BHK actually give better rental yield or appreciation in the long run? Especially with builders like Godrej or DLF. Not sure if the extra EMI is worth it if 2BHKs perform similarly. What's your experience?