[PyOV] Remove `py` package (#27248) #42311

Job	Run time
Smart_CI	20s
Build	16m 32s
Conformance (OP)	9m 51s
Conformance (API)	59s
GPU_Stub	1s
NVIDIA plugin	8m 33s
Debian Packages / Debian Packages	2m 57s
Samples / Samples	11m 34s
OpenVINO JS API / OpenVINO JS API	48s
C++ unit tests / C++ unit tests	13m 26s
ONNX Models Tests / ONNX Models tests	26m 47s
ONNX Runtime Integration / ONNX Runtime Integration	5m 41s
Python unit tests / Python unit tests	41m 31s
CPU functional tests / CPU functional tests	18m 46s
PyTorch Models tests / PyTorch Models tests	22m 42s
TensorFlow Hub Models tests / TensorFlow Hub Models tests	8m 52s
ci/gha_overall_status	1s
	3h 9m 21s

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