Take the token out of the dry run

AFAIK crates.io doesn't even have a "meta" endpoint to let you check the
validity of a token. Or maybe it's just not clear to me from the docs.

Author: featherbread

.github/workflows/deep-tests.yml

@@ -24,8 +24,6 @@ jobs:
         rustc --version
     - name: Try Publishing
       run: cargo publish --dry-run
-      env:
-        CARGO_REGISTRY_TOKEN: ${{ secrets.CARGO_REGISTRY_TOKEN }}
 
   read-msrv:
     runs-on: ubuntu-24.04