If the ocean levels rise, like they might in the future due to global warming, will barometric pressue increase or decrease significantly?

After all the atmosphere sits on top of the ocean and the land. If the ocean were to rise, then the bottom of the barometric pressue would also rise, right? But then again, because the rising would occur over the face of a sphere, the atmostphere would be pushed out over a greater surface area, therefore the PSI of the atmosphere would be spread out, lowering the effectie barometric pressure... Hmmmm.

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