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It's getting out of hand.
(ttrpg.network)
Most of us in my in-person group are parents too, so we're trying not to spread to each others' kids. It gets rough.
The only thing that little fence will accomplish is guaranteeing that when the inevitable cat to tree contact occurs it will be at speed and above the tree's center of gravity. Those furballs can jump.
Just tell the cat that by 5e RAW it cannot jump due to its 3 STR, problem solved