Mix an oxalic-acid cleanser with water into a thick slurry, let it sit on the dark stain for an hour, and wipe it away with a soaking-wet towel — the stain fades as it dries, without refinishing the table.
Never climb-cut a router as your default pass — it runs with the bit's rotation instead of against it, and the router can grab the workpiece and pull itself out of your hands. But a short, shallow climb-cut pass (no more than 1/16 inch) can score a clean edge before tear-out starts, or finish a cut that already tore out.