Backport Tianleis Fix for symbol publishing #9915

Job	Run time
precheck	1m 38s
wasm_Release / build-wasm	50m 27s
wasm_Debug / build-wasm	54m 10s
wasm_Release_static_library / build-wasm	7m 27s
web_Release / build_onnxruntime_web	22m 49s
web_Debug / build_onnxruntime_web	18m 48s
	2h 35m 19s

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