How about a DIY type? One of the cabinent locks and a micro switch . With the lock out, the NC contacts are used and broken when the lock is pushed in and it hits the micro switch.
I believe you must have been looking at an obscure version of a machine Emergency Stop type switch?
Those have safety-of-life type ratings and certifications compliant with UK/US/EU laws, they are not just electrical switches like the Aliexpress versions.
The commoner versions of ES switches are more like £30 - £50, depending on details.