بسم الله الرحمن الرحيم
If the time of Fajr ends at 7:10 and your salah finished at 7:12 then according to Shariah this salah was not valid rather it became invalid. Thus it is mandatory to make qaza of it.
Allah knows Best!
Darul Uloom Deoband
This answer was collected from the official ifta website of Darul Uloom Deoband in India.