Fix tier info in script and its output

Updates the script to use the new tier badging we just rolled out,
and updates the output file too.

doc/administration/audit_event_streaming/audit_event_types.md

@@ -14,7 +14,11 @@ info: "To determine the technical writer assigned to the Stage/Group associated
   edit `tooling/audit_events/docs/templates/audit_event_types.md.erb`.
 --->
 
-# Audit event types **(PREMIUM ALL)**
+# Audit event types
+
+DETAILS:
+**Tier:** Premium, Ultimate
+**Offering:** SaaS, self-managed
 
 Audit event types are used to [filter streamed audit events](index.md#update-event-filters).
 

tooling/audit_events/docs/templates/audit_event_types.md.erb

@@ -32,7 +32,11 @@ info: "To determine the technical writer assigned to the Stage/Group associated
   edit `tooling/audit_events/docs/templates/audit_event_types.md.erb`.
 --->
 
-# Audit event types **(PREMIUM ALL)**
+# Audit event types
+
+DETAILS:
+**Tier:** Premium, Ultimate
+**Offering:** SaaS, self-managed
 
 Audit event types are used to [filter streamed audit events](index.md#update-event-filters).