You have a design similar to the Hornitos biochar kiln.
It is essentially a rocket fired white oven.
It controls the flow of the wood gas exhaust by monitoring temperatures temperatures.
The point when they become flammable is precisely identified, and the gas is diverted .
Each kiln routes the woodgas to the kiln next to it, in a daisy chain that allows each act of pyrolosis to fuel the next.
Unfortunately the Hornitos biochar kiln video is caught up in a copyright fight, so I havent been able to view it online.
The Iwasaki kiln is another similar design.
The Iwasaki kiln routes the exhaust of a fire directly through a "bell" full of feed stock.
There is no separation between the exhaust gasses of the fire that drives the reaction,and the biochar feedstock.
It is essentially, a "black oven".
As with the Hornitos biochar kiln the exhaust temperature is monitored.
This time it is diverted to a simple condensing apparatus to capture the wood vinegar.
As the temperatures rise, the vinegar element tampers off and the tars begin to be present.
They could also be captured by condensation, but they are toxic.
Aside from using them as preservative, they would be a refined fuel, stored energy.
Most of the set ups seem to burn them off without capturing the energy.
The man in the first video below has a working apparatus that is cranking out char and wood vinegar.
They guys in the second video below are trying use it to fuel the reaction, much like in your design.
They don't seem to be using a rocket stove, even though they reference the Hornitos biochar kiln, which did use a rocket stove.
I think a batch box rocket could be sized to pyrolize everything in the associated kiln, with little wasted heat, but the wood gas from the retort would go to waste.
Biochar kiln, modified Iwasaki kiln with pressure vessel and cracker piping.
Potentially, one could get wood vinegar , biochar, heat and pyrolysis oil from a single batch of feedstock.
I think the pyrolysis oil might be worth doing, because it allows us to use wood to fuel whatever reaction we want whenever we want, rather than needing to use it right then and there.
It wont be getting into the atmosphere, so that's a bonus.
Is it dirty to burn later?
I think if we add it back into a rocket stove, it would burn clean.
Introducing it through the secondary air port might work, or some other drip or atomizing system could do the trick.