Yes, I just wanted to correct OP statement that "and have more water above you, causing more downward pressure" by pointing that increasing pressure exerts forc

Yes, I just wanted to correct OP statement that "and have more water above you, causing more downward pressure" by pointing that increasing pressure exerts force on bottom side, so in effect it cancels out increasing pressure pushing at top, and so buoyant force is constant. (with added trivia about minuscule changes due to fluid compressibility)