If you have a belt sander or a grinder, you would just make your own chisels for this out of hex or round bar.
Short of that, take your exacto knife and grind the tip against a rock. Directly on the edge of the blade. What you want to end up with is a chisel point that is the width of the exacto blade's thickness. This will be able to cut down to 12/12 traces, individually.
What I do is first press the chisel over the trace at point A and make what I guess a woodworker might call a knife wall. Essentially, you are digging out a very tiny and super shallow mortise, here. (Bear with me, I'm a wannabe woodworker.) This first mark is to cleanly delineate the end the cut. This prevents lifting of excessive amount of copper. Then move over to point B, a few mils away from point A, and pare out the section between point A and B.
I had some recent practice of this. I got impatient and took the board out of the etch tank too soon, leaving little flakes of copper. I found not one but TWO shorts between power and ground, after dicing up the power rail into bits. Got it all sorted out in the end, though. I actually only ended up doing 3 cuts. Once you have verified that one side is actually fine, and the other is not, something magic happens, and your eyes start to work.
Reconnect by scraping a little of the soldermask away and using 30AWG wire for the small traces. The tiny chisel is the way to be, here. If you have trouble getting a connection with flux, you are probably doing it wrong. But if the traces are really that tiny, you can use just a few swipes with a fiberglass brush to shine up the copper and remove trace mask, but only after scraping the trace as well as you can with the chisel. If you brush too hard, you'll expose copper in the surrounding area.