Pokeberry removel

As the title suggests im looking for ways to remove a very large poke berry bush. Unfortunately a pokeberry grew under the cover of a 15ft tall fig bush we have Only to now show its face. I wish to keep the fig bush in tact as much as possible while culling the poke out of existence. The poke is probably well rooted at this point it looks roughly 8-10ft tall. Would it be more wise to try and cull and discard during the winter? How would I destroy the root system to prevent regrowth during spring without harming the figs root system. Any help or suggestions would be greatly appreciated