Manylinux 2014

Refactoring LLMCompiledModel according to review comments in GenAI static_llm::StatefulLLMPipeline #4213

Job	Run time
Smart_CI	24s
Docker	56s
Build	8m 50s
Python API tests (3.10, openvinogithubactions.azurecr.io/ov_test/debian_10_py310:pr-25673) / Python API tests	3m 10s
Python API tests (3.11, openvinogithubactions.azurecr.io/ov_test/ubuntu_22_04_x64:pr-25673) / Python API tests	2m 20s
Python API tests (3.12, openvinogithubactions.azurecr.io/ov_test/ubuntu_24_04_x64:pr-25673) / Python API tests	2m 31s
Python API tests (3.13, openvinogithubactions.azurecr.io/ov_test/ubuntu_20_04_x64_py313:pr-25673) / Python API tests	2m 47s
Python API tests (3.9, openvinogithubactions.azurecr.io/ov_test/fedora_33:pr-25673) / Python API tests	2m 37s
ci/gha_overall_status_manylinux2014	1s
	23m 36s

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