This^^^
I plywood is one of the strongest sheeting elements you could ask for since the grain alternates directions each layer. I honestly think one layer if 3/4" would have sufficed if you were willing to have it flex.
I can certainly do the strain analysis via CAD if anyone is interested, but I guarantee the transom fails at the brackets before the ply does.
We have had two 200+ pound individuals standing on the back edge of mine for the record...
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