Who said dioxin?
I don't say, burning plastic bottles is a good idea, but dioxins are not a likely problem.
first: plastic bottles are usually PET - thats Polyethylenterephthalat - neither Cl nor Br involved here.
The group of Dioxins are Polychlorinated dibenzo-p-dioxins and dibenzofurans - so they need the presence of Cl to develop.
second: there ist the dioxin window: thats the temperature range in which dioxins can form. This window is between 300°C and 700°C.
Wood burning temperatures are between (600°C –1300°C), if the
rocket stove is actually burning at the upper limit, it
should exceed the 700°C border. This means the Dioxin molecules will dissociate.
So in a properly burning rocket stove I see no problem with the development of dioxins.