Update examples for Client Credentials Flow #3637

Job	Run time
Code Style	49s
test AutoRust	4m 4s
Get minimum supported rust version	27s
SDK Tests (stable, false)	8m 34s
SDK Tests (1.70.0, false)	10m 31s
SDK Tests (nightly, true)	8m 15s
Integration Tests (stable, false)	10m 3s
Integration Tests (1.70.0, false)	9m 13s
Integration Tests (nightly, true)	9m 7s
E2E Tests (stable, false)	58s
E2E Tests (1.70.0, false)	54s
E2E Tests (nightly, true)	39s
Services Tests (stable, false)	24m 8s
Services Tests (1.70.0, false)	23m 51s
Services Tests (nightly, true)	24m 7s
	2h 15m 40s

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