Running Chimney through Pergola

[blacknoir]

What would you recommend for running a Chimney through a Pergola? Double walled pipe with heat shield? Or could I run a brick chimney all the way up and through? Or, do I even need to run through it depending on the height of the Pergola?

All of this is in the planning stages and I'm trying to figure out my layout for the oven, kitchen, pergola and deck. The oven is going to be at the end of my backyard placing the vent 30 feet from the house.

Thanks,
Shay