Is there a way to invert a search?

The documentation for search filters states that you use syntax like "=tag:" to search for items with a specific tag. But is there a way to invert that search to find items that *don't* have that tag? I'm just looking for a "NOT" operator of some kind. I asked AI but it seemingly gave me incorrect information (it said to use "-tag:" or "NOT" but neither worked.

My ultimate goal is to search for items that have one tag but not another.