[Refactor] Roll out stream helpers to LiteLLM and Z.ai specs #3730

Job	Run time
invisible-chars	7s
platform-unit-test (ubuntu-latest)	4m 13s
knip	45s
platform-unit-test (windows-latest)	11m 4s
dependency-review	13s
check-translations	36s
compile	2m 13s
	19m 11s

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