cleanup azure_identity examples #3710

Job	Run time
test AutoRust	4m 25s
Code Style	4m 52s
Get minimum supported rust version	23s
Services Tests (stable, false)	24m 29s
Services Tests (1.70.0, false)	27m 29s
Services Tests (nightly, true)	24m 38s
E2E Tests (stable, false)	1m 2s
E2E Tests (1.70.0, false)	1m 5s
E2E Tests (nightly, true)	1m 2s
Integration Tests (stable, false)	7m 0s
Integration Tests (1.70.0, false)	12m 7s
Integration Tests (nightly, true)	7m 5s
SDK Tests (stable, false)	10m 0s
SDK Tests (1.70.0, false)	8m 49s
SDK Tests (nightly, true)	9m 31s
	2h 23m 57s

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