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Hello, I am in Florida and have a screened patio. I wish to cover the outside of the patio with a fence that would keep all creatures from able to enter to keep the cat safe.

I figure the heaviest animal would be an alligator climbing the fence, at 1000 lbs. I was thinking of using 2×4 woven wire fence, 12.5 gauge, and I can attach it directly to the metal framing of the patio. The product did not mention anything about high-tensile, etc. Would this type of fence be able to support a 1000 lb creature trying to climb up it? Any other suggestions?