refactor: cleanup deprecated management-api endpoint (#4713) #13299

Job	Run time
Checkstyle	5m 3s
API-Tests	8m 5s
Component-Tests	11m 55s
End-To-End-Tests	17m 10s
Javadoc	7m 17s
Postgresql-Integration-Tests	8m 58s
Unit-Tests	11m 5s
Verify-OpenApi	0s
CodeQL / Analyze (java)	12m 43s
	1h 22m 16s

Provide feedback