Refactor and add event type information for audit events using AuditEventService
Full context in [parent epic](https://gitlab.com/groups/gitlab-org/-/epics/8057)
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### Release notes
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### Problem to solve
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#### Handling CE only audit events
If moving an audit event to the new service means it would no longer be supported in CE we need to add it to the list of exceptions. Details are outlined here: https://gitlab.com/gitlab-org/gitlab/-/issues/402388+s
### Proposal
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Update audit event invocations that use the older `AuditEventService` approach to use the preferred approach of `Gitlab::Audit::Auditor.audit` from the [development guide](https://docs.gitlab.com/ee/development/audit_event_guide/).
Update refactored events to contain a name that will be sent as an event type in a streaming audit event.
List of events to update:
* Events from the specific lists at https://gitlab.com/groups/gitlab-org/-/epics/8118+
* _Fill in additional events using the AuditEventService approach as this issue is worked_
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