[Bug]: Audit MatchExec process responsibilities and remove duplicate work

[voyager-slama]

Describe the bug

Document what each running MatchExec process does and verify that each background responsibility has one owner.

How can we recreate this bug?

1. Follow the affected workflow described above.
2. Observe the behavior.

Expected behavior

Avoid duplicate jobs, duplicate notifications, and unnecessary work.

MatchExec Version

Unknown — migrated from Todoist; determine during triage.

Docker Version

Unknown — migrated from Todoist; determine during triage.

Additional context

Avoid duplicate jobs, duplicate notifications, and unnecessary work.

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Migrated from Todoist by voyager[bot].