Unfortunately, the search results did not directly address how to exclude deployments with a specific tag using JSON for automations. However, here are the links that may still be useful for understanding automations in Prefect:
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https://docs.prefect.io/latest/concepts/automations/)
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https://docs.prefect.io/latest/guides/automations/)
Considering that tags are used to filter or target specific deployments, you may need to manage the exclusion logic programmatically within your deployment configuration or automation script. Typically, you would check the tags of each deployment and exclude those that match the specified tag. Would you like to see a code example for handling this logic programmatically?