There are two types of space in Confluence: 'site' spaces and 'personal' spaces
1. to create/revoke personal space permission you have to check "Personal Space" permission on global permission
2. to create/revoke site spaces permission then you have to check "Create Space(s)" permission on global permission
You don't. The permission is inclusive, not exclusive. You allow groups X, Y and Z to create spaces. To exclude someone from creating spaces, you have to make sure they are not in group X, Y or Z.
Rambanam's link is the one to follow for the details, but you need to think about your group structure. Most places simply create a group called "space creators" and put authorised people into it.
It sounds like it might be easier to approach this from the other end.
Could you go into Admin -> Global permissions and list out every group and person who has a tick in the "create space" column.
Then, look at the user who is getting the option, and list out their groups...
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