No display out on graphics card... is my graphics card dead?

[balalrumy]

I will recommand you to update your graphic card driver with latest version .

[the_weegie]

Have you looked in the BIOS to check what the primary output is? It sounds like the BIOS thinks the iGPU is the default which might be why that works and the dGPU doesn't. Obvs if the card doesn't appear in the BIOS it's dead though.