[core] Refactor ov::pass::Serialize #19866

Job	Run time
Smart_CI	19s
Docker	1m 8s
Docker_arm64	49s
Build / Build	44m 4s
Python API tests / Python API tests	2m 27s
CPU functional tests / CPU functional tests	4m 58s
ci/gha_overall_status_ubuntu_22_arm64_cross_compilation	3s
	53m 48s

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