CloudVeil is another Internet Filter that does not offer an uninstallation option (I fully realise this is on purpose, but that doesn't make it not bullshit) that does not involve calling their support and asking them to give you a code.
It's worth noting that CloudVeil really only installs the Unified Agent software from Blue Coat Systems which is an "enterprise grade firewall and internet filter" which is legitimate software. If you want to remove it yourself, it’s actually pretty easy.
Notes before we begin:
Step 1: Remove or rename the executables it creates. (Note that users of 32bit windows should substitute SysWOW64 with System32 and Program Files(x86) with Program Files)
C:\Program Files\Blue Coat Systems\Unified Agent\* C:\ProgramData\bcua\* C:\Program Files(x86)\CloudVeil\* C:\Windows\System32\drivers\bcua-wfp.sys
Step 2: Reset the Windows IP Stack
Additional Cleanup: (Note that users of 32bit windows should substitute SysWOW64 with System32)
Remove the log and icon files
C:\ProgramData\Microsoft\Windows\Start Menu\Programs\Startup\Unified Agent Notifier.lnk
If all went well then you should now have internet access. If not then you are in the same place you started, and should do whatever you would have done (like take the system to your local repair shop).