Hi,
If I understand correctly, you are using Log Search alert and you are using e-mails notification in action group. You want to add some custom data, so it appears in the e-mail. That is not possible. You can only change the subject of the e-mail with Log Search alert. Adding custom payload is option for action group integrations that rely on webhooks like Webhook, Function, Logic App, etc. It is the payload you send to the webhook that is changed. If you want to have such kind of functionality you should use integration like Logic App where you can process the webhook in a way that you want and use your e-mail system to format and send the e-mail.
Other option could be to use the Kusto query language to add static column and value to your like query. Something like:
| extend status = 'Activated'
I believe partial results from the query are available in the e-mail.
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