[GPU] Add a new option for DumpProfilingData #23791

Job	Run time
Smart_CI	17s
Build	14m 39s
OpenVINO JS API	0s
ONNX Runtime Integration	0s
Conformance	0s
CPU functional tests	0s
ONNX Models Tests	0s
Samples	0s
GPU_Stub	1s
OpenVINO tokenizers extension	0s
NVIDIA plugin	0s
Debian Packages / Debian Packages	2m 44s
C++ unit tests / C++ unit tests	1m 35s
Python unit tests	0s
PyTorch Models tests	0s
TensorFlow Models tests	0s
ci/gha_overall_status	1s
	19m 17s

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