why do you need a tool? if its crap writing give it a crap grade and move on.
2. The pedagogical intervention depends heavily on whether the student is cheating or just FAR below grade-level.
3. the student likely won't be truthful.
4. Even if we assume the student will tell the truth, if they aren't using an LLM and you accuse them of doing so it's going to crush the student and make teaching that pupil close to impossible.
Teachers are teachers, not proctors.