Y’know how some people do crossword puzzles in pencil so they can change a guess, while others have the hubris to use pens? Cuneiform was designed for clay tablets, and the soft clay could be easily ‘erased’ to enter corrections or entirely new texts.
Pencil users.
Carving in stone was accomplished using a water-soluble ink or paint, proofed, corrected where needed, then the characters were chiseled out, like painting by numbers but with metal tools.
Egyptian wall texts were roughed out using an ocher-based ink (if memory serves), then the master scribe checked the text, made corrections, and the permanent version was painted on, covering the light ochre version, errors, corrections, and all.
There are also ancient errors detected in carved inscriptions, those were pen users I’d guess. :^)
My mother did crosswords in pen - she had books of crosswords all done in pen - never a correction.