A density altitude of 1300ft does not seem to be a particular issue.
Having said that I recall my old Terrier hated the heat - once the temperature got over 30 degree C it would skip along a runway for quite a way and then reluctantly climb away - 500 odd metres was always plenty but with a shorter wing who knows?
My Terrier had a pretty comprehensive set of data on takeoff and climb performance in the flight manual which would answer the question on likely performance (even though it had no fuel or oil consumption data!)