improve: health probes showcase & docs to operations #6794

Job	Run time
sample_operators_tests (sample-operators/operations)	4m 27s
sample_operators_tests (sample-operators/mysql-schema)	3m 3s
sample_operators_tests (sample-operators/leader-election)	3m 53s
sample_operators_tests (sample-operators/webpage)	3m 25s
sample_operators_tests (sample-operators/tomcat-operator)	3m 56s
sample_operators_tests (sample-operators/mysql-schema)	3m 3s
sample_operators_tests (sample-operators/operations)	19s
sample_operators_tests (sample-operators/tomcat-operator)	3m 56s
sample_operators_tests (sample-operators/webpage)	3m 25s
sample_operators_tests (sample-operators/leader-election)	3m 53s
	33m 20s

Provide feedback