/diy/ - Do It Yourself

Brainlet here again, how is it in a circuit similar to this, the amplitude of the output doesnt go to infinity?
The way I'm thinking of it is, the oscillations in the tank circuit get fed to the amp, which then adds current according to the direction of the oscillation, but then shouldnt thay feed even more current to the base, which would feed even MORE current back into the tank, and infinitum or until something blows out?

I understand why LC circuits oscillate, but it seems like an amp would just keep feeding it energy in one direction until something blows out. Of course I know this ain't true since they work, but I'm not sure what I'm missing.