So, a 3 ton system removes more heat from air. so outlet air is colder?
No. A 2 ton and a 3 ton system (properly installed) will both produce similar outlet air temps. The tonnage is a measure of capacity. A higher tonnage unit can cool a larger area than a smaller
or there is ”more” cold air?
Sort of...higher tonnage requires more airflow so the volume of air is increased
Higher tonnage means more volume, but the velocity is the same (typically 350-400 cfm per ton). Larger units don't move air faster, they move more air
Yes, but not for the reasons you think and only if the larger unit has the appropriate size ductwork attached.
can a higher cap system, say 3 ton achieve 71f at all times?
Possibly, or it could be oversized. Too big is a problem too - it will cycle a lot, be inefficient, and won't remove humidity as well. It might be cheaper and more effective to improve the insulation, add some shade trees, upgrade windows, maybe even add zoning.