[NPU] Refactor zero infer request #57653

Job	Run time
Smart_CI	25s
Docker	45s
Build / Build	20m 44s
Pytorch Layer Tests / PyTorch Layer Tests	3m 3s
Debian Packages / Debian Packages	1m 39s
C++ unit tests / C++ unit tests	1m 0s
JAX Layer Tests / JAX Layer Tests	1m 59s
Pytorch FX Layer Tests / PyTorch FX Layer Tests	3m 26s
Python unit tests / Python unit tests	3m 30s
Samples	0s
OpenVINO tokenizers extension	0s
Python API tests / Python API tests	0s
TensorFlow Layer Tests	0s
ci/gha_overall_status_ubuntu_24	3s
	36m 34s

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