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That isn’t a paperweight, that is a board in need of minor repair. If you don’t have the skills to do it yourself then find an electronic repair shop, they should be able to fix it for you pretty easily. Soldering on a new connector is like the most basic repair to do.
The weight of the meat is fairly inconsequential since it is just a bit denser than the water. Floating is purely due to trapped air in the sous bide bag so you just need enough weight to overcome the buoyancy force of the air.