Unsure if this is the answer you were looking for as you seem to already know whats weak etc and wrote it yourself. Looks like trolling looking back, but just in case its not read on.
If you’re tired after a 10 min run, reality check.
If this is happening when running on a treadmill, don’t run on treadmills.
You’ve said it yourself. Poor stability, weakness in abductors. Look to strengthen them.
Probably looking at poor quad:hamstring ratio, weak glutes and weak tibialis anterior . Look to strengthen.