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Between each pair of solder pads there's an existing, very short trace -- it's barely visible. To disconnect you just need to use a razor knife between the pads.
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I think the easiest way would be to add a wire between ADD and 3.3V, SDA, or SCL between the larger, six holes on the left edge of the board. You can do that on either the top or bottom side of the board so it shouldn't interfere with any pin headers or other wires you're planning on connecting those those holes.
The "four tiny holes" are "vias". They're there to provide a current path between the top and bottom of the board. I don't think it's a good idea to attempt to solder anything to them; they're not designed for that.