yeah, if you look through the "hole" in the diff and you see it being hollow or having a disk fitted, you got a LSD. If you see a cylindrical axle passing though the bore, it is an open diff.
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Remove the plug for the VSS and check if there is a plastic gear fitted on the differential next to the bearing. See the angled teeth gear below the top bearing.
If not, you need the signal converter or refit this ring gear to the differential. But that is a lot of work and the gear is not cheap either.