Thanks everybody, I wanted to upgrade this multimeter with buzzer but I will build a separate device just for continuity testing there is bunch of schematics online and I will model a housing and 3D print it. If I understand that continuity mode is just measuring resistance and if the resistance is small enough it detects it as a continuos path and if there is more resistance between two probes it doesn't give sound signal, but my question is where is the limit between continuity and no continuity?
Thanks, I will try and let you guys know if it works.
That's correct, the fuse is blown, gotta get a new one. Just some additional info ratings of that fuse are 250V 2A.