what size nozzle is the anycubic kobra x printer shipped with

The Anycubic Kobra X is shipped with a 0.4 mm hardened steel nozzle. Anycubic also lists 0.25 mm, 0.6 mm, and 0.8 mm nozzles as compatible replacements.

Quick note

A 0.4 mm nozzle is the standard setup most people receive out of the box, so that’s the size to expect unless the seller specifies a different bundle.

Source check

Anycubic’s product page for replacement nozzles also lists Kobra X compatibility with a 0.4 mm hardened steel nozzle.