Update publish.yml with `--no-cache` (#18095)

Signed-off-by: Glenn Jocher <glenn.jocher@ultralytics.com>

.github/workflows/format.yml

@@ -9,7 +9,7 @@ on:
     types: [opened, edited]
   discussion:
     types: [created]
-  pull_request_target:
+  pull_request:
     branches: [main]
     types: [opened, closed, synchronize, review_requested]
 

.github/workflows/publish.yml

@@ -37,7 +37,7 @@ jobs:
           python-version: "3.x"
       - uses: astral-sh/setup-uv@v4
       - name: Install dependencies
-        run: uv pip install --system ultralytics-actions build twine toml
+        run: uv pip install --system --no-cache ultralytics-actions build twine toml
       - name: Check PyPI version
         shell: python
         run: |