Haha, what a funny game.
Given that a lot of beth games I've played before had auto-intalled Construction Sets, and beth is believed to also have had such a thing for FO4...
I've desinstalled the gog LONDON mod, noticed the broken FO4, so deinstalled that, too, forgot to reboot my computer at this point (windows has a funtion for delaed to reboot deletion of files), then realized I've already deleted gog FO4, so downloaded that again, installed, noticed an infinite startup intro loop (probably cause by undeleted LONDON-mod files), so deinstalled gog FO4 again, reinstalled, startup-loop gone.
Because I didn't find another reliable download source für the FO4 CK and their promise was "only a PC version of FO4 required", I created a steam account, to make that download, which didn't run out of the box with my PC version of FO4.
The first time I've made all this processing output some error-message was when I tried to start the CK from the steamapps folder using windows explorer. Copying the files to FO4 made windows complain about a missing "get steam user"-enty point instead of a totally missing steam dll.
So much wasted time. And it's not about money. I'd propbably buy FO4 also from steam. Already tried that out. Didn't work because of paypal's shift to require valid mobile phone number. An the other options also don't work here. Not sure if there are prepaid steam codes available in the grocery next door, and I'm not intereted anymore. This would require more hours of replacing gog FO4 with sream FO4 (and for me, FO4 was the weakest beth make I've tried from TES3 on).