gh-35412: Activate codecov reports even if other checks are failing
    
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### 📚 Description

Follow-up from #35056. Currently no
codecov reports are displayed because the doc deployment workflow is
failing and codecov by default only adds its checks if all other checks
are passing. We change this setting so that codecov checks are always
added, regardless of other failing tests.

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- [ ] I have updated the documentation accordingly.

### ⌛ Dependencies

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URL: #35412
Reported by: Tobias Diez
Reviewer(s): Kwankyu Lee, Matthias Köppe, Tobias Diez

Author: Release Manager

.codecov.yml

@@ -1,5 +1,8 @@
 # https://docs.codecov.com/docs/pull-request-comments#disable-comment
 comment: false
+# https://docs.codecov.com/docs/codecovyml-reference#codecov
+codecov:
+  require_ci_to_pass: false
 # https://docs.codecov.com/docs/commit-status
 coverage:
   status: