You’re in big error here. AL-31F 12,500 Kgf thrust (that is bench thrust as everybody knows) won’t be the same with the engine installed in the fighter, not even at zero speed. There will be thrust losses caused by the air intakes ducts, and these are considerable. Let’s suppose that air intakes-caused thrust losses for Su-27 are similar (as fraction of bench thrust) with the air intakes of MiG-25 :)
Watch in the MiG-25RB practical aerodynamics manual, page 79 – it’s the air intakes-caused thrust losses. You can see, even at zero speed the thrust losses are as high as 26%! Watch at low speeds the lower curve – this shows how because the lower lip of the air intake is down (compared to “lip up” curve above) it decreses the thrust losses (by inhibiting turbulence forming that will lead to pressure losses in the intake ducts, and finally thrust losses). The lip will decrease thrust losses with more than 8%. Air intakes-caused thrust losses is a big deal indeed, somewhere in the manual it is said that if the plane is heavy (or is flying with only one engine) during landing approach and the pilot for whatever reason has to abort landing, and will power up but will have little excess thrust, to not forget that when will retract landing gear the lip will also go up and will decrease a bit the thrust, so is better to retract gear when higher-faster-safer. Also in the graph you can see how the bench thrust is almost reached at high subsonic speeds, and the way inlets starts producing thrust at high Mach.
In the same book, page 63, R-15B-300 thrust, military 7,500, max AB 11,200. So we have 15,000 and 22,400. On page 267, in the text – takeoff thrust military 12,200, max AB 17,600. So the average takeoff thrust is 81% of bench thrust in military and 78% in max AB.
In LockOn takeoff performance for supersonic a/c is already outstanding, no need to increase thrust here. The thrust is low only at high altitude. In MiG-29 manual it says AB takeoff will take 7-8 seconds. I think you can do that easily in LockOn.
MiG-23ML/UB practical aerodynamics manual, page 345. Takeoff forces distribution. It is in that manual, R-35-300 engine is 13,000 Kgf thrust. All you can count in the graph at zero speed is 10,500. That is 80% of bench thrust.
Coincidence? No. It is SAFE to assume that in takeoff condition supersonic fighter a/c have about 80% of the bench thrust. So the Su-27 will have about 20 tons takeoff thrust. There are also ejector nozzle flaps losses (airframe-mounted on MiG-23). Anybody not convinced yet is invited to have a more in-depth lecture of those two books, air intakes chapters.