From a Symmetrical point of view, Two Coils, Two Magnetic Fields, Equal and Oposite, Symmetrical, It is not possible to have a Lenz's Law Offset.
Each Magnetic Field, M.M.F, is Equal and Oposite, they effectlvely Cancel.
One needs to Expand on your diagram and think about the Machine Asymmetrically to gain a Lenz's Law Offset.
I posted, some posts back, a proceedural outline:
At Time t = 0: we have no Conduction in all Coils in our machines. No Current Flows.
At Time t = 1: we have Input Coil Conduct with the Switch On of the Mosfet, Current Starts to Flow.
At Time t = 2: we have Electromagnetic Induction between your Input Coil and POCOne , POCOne Conducts when the Diode Voltage is at threshold Voltage, normally 0.5 to 0.7 Volts.
At Time t = 3: we have Current Flow in POCOne, this Current starts to Change in Time also, Electromagnetic Induction occurs between POCOne and POCTwo.
At Time t = 4: we have POCOne's Current induce sufficient Voltage in POCTwo and then at 0.5 to 0.7 Volts, POCTwo then Conducts.
Here you can see, we have a Delay in Conduction, the Coils are delayed in Time T, and as a result, they Slap Together, which is Electromagnetic Induction in your Machine for a Second Time!
Accounting for each Instance of Electromagnetic Induction in your machine, you have 180 + 180 = 360 so your Third Output Coil opposes your Second Output Coil but is Assists your Input Coil.
So the best way to think about this is in terms of Force, M.M.F, the Current I through Turns N in each Coil, In a "Generator" this is responsible for Shaft Torque. This Force is negated by POCTwo, your Second Output Coil.
Here we have a Magnetic Field that is offsetting Lenz's Law by a Factor of Magnitude, because the three Magnetic Fields are Asymmetrical, we have Force Assisting our Input Coil, the Input is bought down as a result.
Please take the time to study this in depth, as once this is properly understood, a whole new Science opens up, making current thinking obsolete and antiquated!