ok step 1 = watch this vid to get the correct way to move installed Steam games =
i know you say you have already done it but its better to know the correct way in case you missed any steps
step 2 "C:\Program Files (x86)\Steam file" is the default location of Steam i.e, the actual app
yes you can move it - instructions are here https://help.steampowered.com/en/faqs/view/4BD4-4528-6B2E-8327 however they say to deleate the files and allow Steam to rebuild them, which is not a great idea unless you 1st copy paste the folders to a safe location for backups before starting
assuming when you moved the game did you make a Steam folder 1st then; 1 you started installing the game to the old location as well 2 you have some mods installed that still point to the old location 3 one of these storage locations is a USB controlled drive and thats bad because they drop in and out or you just moved the files incorrectly
the good news is that reguardless of how you got here , things can still be fixed, simply watch the vid, make a new Steam folder and move the game files [one or all] to the new location and then open Steam to comfirm it knows where the new game files are
Luke Skywalker: I don't, I don't believe it. Yoda: That is why you failed.