[PyOV] Remove `py` package #9599

Job	Run time
Smart_CI	19s
Docker	1m 5s
Build / Build	12m 53s
Conformance (OP)	9m 32s
Conformance (API)	2m 5s
dGPU Tests	0s
NVIDIA plugin	2m 41s
iGPU Tests	0s
Debian Packages / Debian Packages	2m 19s
Samples / Samples	5m 33s
C++ unit tests / C++ unit tests	17m 35s
OpenVINO JS API / OpenVINO JS API	2m 24s
ONNX Models Tests / ONNX Models tests	19m 46s
ONNX Runtime Integration / ONNX Runtime Integration	5m 24s
Python unit tests / Python unit tests	21m 32s
CPU functional tests / CPU functional tests	18m 55s
OpenVINO tokenizers extension / OpenVINO tokenizers extension	3m 56s
Pytorch Layer Tests / PyTorch Layer Tests	31m 0s
PyTorch Models Nightly Scope1 tests	0s
PyTorch Models Nightly Scope2 tests	0s
TensorFlow TF Hub Models tests	0s
TensorFlow Hugging Face Models tests	0s
TensorFlow Layer Tests / TensorFlow Layer Tests	9m 40s
TensorFlow Models tests / TensorFlow Models tests	11m 11s
JAX/Flax Models tests / JAX/Flax Models tests	1m 44s
PyTorch Models tests / PyTorch Models tests	32m 57s
ci/gha_overall_status	1s
	3h 32m 32s

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