CircleCI deploy fails due to restricted context

[mindctrl]

When the release deploy jobs run in CircleCI (introduced in #179), the job fails because the GitHub Actions bot does not have access to the restricted Contexts stored in CircleCI.

Example: https://app.circleci.com/pipelines/github/wpengine/wp-graphql-content-blocks/88/workflows/fea1e32f-40c9-41c0-ba94-5eba26a57d74

Re-running the job manually as a user with the appropriate team access in GitHub results in the job working as expected. We need to fix this so it's automated.