The fix was to add Snowy into the LOCAL admin group for each PC. I did this with a nice group policy
Create a policy and choose Edit. Since this needs to apply on per computer basis, in the Group Policy Management Editor console expand Computer Configuration > Preferences > Control Panel Settings and click on Local Users and Groups. As you can see, there are other stuff you can configure here too like shortcuts, printers, enable or disable services on clients etc and if you open the Windows Settings folder you can find more. Feel free to explore and test them, but right now do a right-click on Local Users and Groups and choose New > Local Group.
The Local User option is there in case you want to remove, update/modify some local users you might have on your clients. You can also create them.
Configure Local Groups using Group Policy Preferences
On the Action drop-down box you have multiple choices. If you want to create a new local group on your clients go with the Create option, if you wan to replace a local group with the one you name here go with Replace and so on. Right now choose Update and from the Group name drop-down box select the local group on which you want to make changes. The local Administrators and local Remote Desktop Users are the most used ones. If the group name you want to update is not listed here you can type it, but do not click the ellipse button and search for it because it will search the domain, and you don’t want that.
Add Snowy but don't replace - just set to Update