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Ranghood ducting installer

I urgently need someone to install rangehood ducting to vent it out. The rangehood has been installed for years but no ducting to vent out. With the new Healthy Home Policy for tenanted property it is compulsory the rangehood have to have a ducting to vent out. The ducting will go through the wall to the back of the kitchen which is garage and from there going to the ceiling and to the back yard (weatherboard) Attached picture for reference. Open for any suggestion for the ducting installation method. Thank you