Can I leave out an avocado tree outside?

Several years ago I started an avocado tree from a pit. it has been thriving indoors for the winter & outside in the warm weather- here in North Carolina, sometime after March. I recently transplanted it into a larger pot, & it continues to grow well outside now.
I am wondering if I could leave it outside under a pergola which is covered with a polychromate cover that lets in a lot of light. I would place it in a corner, close to the house, sheltered from any snow or sleet which we may have.

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