Bugfix.notify custom participants

What does this MR do?

Fixes #36610 (closed) by actually using the :participating type. Additionally, factors out a method that reflects more or less directly what is specified in our documentation.

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Why was this MR needed?

Screenshots (if relevant)

Does this MR meet the acceptance criteria?

• Changelog entry added, if necessary
• Documentation created/updated
• API support added
• Tests added for this feature/bug
• Review
  • Has been reviewed by UX
  • Has been reviewed by Frontend
  • Has been reviewed by Backend
  • Has been reviewed by Database
• Conform by the merge request performance guides
• Conform by the style guides
• Squashed related commits together

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