Distance from 2 Points on the same Plane

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I have a Plane, the normal and 2 vectors, where $v1\cdot v2 = 0$ and $\cdot$ is the dot product, on the plane are known. I also have 1 point, which is considered the middle, and another point anywhere on the plane. For both points, the coordinates are known. Now I need to know where the second point is in relation to the first when looking straight onto the plane. If I get the distance between the two I basically get a circle around the middle where the second Point lies on. One idea I had was to just measure the distance, or get the circle, for 3 Points, and by doing so "triangulate" the target point. I don't know if that would work, and if we would have the power left over to do all that.

I'd appreciate any other ideas, or insight if my idea would theoretically work

Edit for clarification: If looking straight onto the plane, I need to know how much the target point is moved to the right/left from the middle and how much it is moved to the top/bottom from the middle