Docs: Changed OpenVINO Runtime User Guide integration (#10187)

* Changed C++ OpenVINO Runtime User Guide integration

* Remove IE from C++ guide

* Fixed comments

* Additional fix

* Fixed some comments

* Some new documents

* Fixed some comments

* Added Python snippets

* Added sphinx tabs

* Removed tabs

* Removed group-tab

* Added additional lines

* Fixed typo

* Fixed comments and build

* Try to fix complex tabs

* Fixed some typos

* Added python code for model representation

* Added more python code

* Added serialize/visualize python examples

* Simplify integration pipeline

* Fixed typo

* Try to fix tabs

* Extend CompiledModel guide

* Resolve merge conflict

* Added separate infer request guide

* Fixed build

* Added cancel infer request method

* Update docs/snippets/ov_model_snippets.py

Co-authored-by: Jan Iwaszkiewicz <jan.iwaszkiewicz@intel.com>

* Fixed comments

* Fixed typo

* Extend visualize pass

* Fixed comments

* Fixed build

* Fixed typo

* Update docs/snippets/ov_infer_request.py

Co-authored-by: Jan Iwaszkiewicz <jan.iwaszkiewicz@intel.com>

* Update docs/snippets/ov_infer_request.py

Co-authored-by: Jan Iwaszkiewicz <jan.iwaszkiewicz@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/integrate_with_your_application.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/model_representation.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Update docs/OV_Runtime_UG/model_representation.md

Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

* Fixed comments

* Fixed doc

* Fixed merge

Co-authored-by: Jan Iwaszkiewicz <jan.iwaszkiewicz@intel.com>
Co-authored-by: Andrey Zaytsev <andrey.zaytsev@intel.com>

samples/cpp/classification_sample_async/README.md

@@ -36,7 +36,7 @@ After that, the application starts inference for the first infer request and wai
 When inference is done, the application outputs data to the standard output stream. You can place labels in .labels file near the model to get pretty output.
 
 You can see the explicit description of
-each sample step at [Integration Steps](../../../docs/OV_Runtime_UG/Integrate_with_customer_application_new_API.md) section of "Integrate the OpenVINO™ Runtime with Your Application" guide.
+each sample step at [Integration Steps](../../../docs/OV_Runtime_UG/integrate_with_your_application.md) section of "Integrate OpenVINO™ Runtime with Your Application" guide.
 
 ## Building
 
@@ -172,7 +172,7 @@ classid probability
 
 ## See Also
 
-- [Integrate the OpenVINO™ Runtime with Your Application](../../../docs/OV_Runtime_UG/Integrate_with_customer_application_new_API.md)
+- [Integrate the OpenVINO™ Runtime with Your Application](../../../docs/OV_Runtime_UG/integrate_with_your_application.md)
 - [Using OpenVINO™ Toolkit Samples](../../../docs/OV_Runtime_UG/Samples_Overview.md)
 - [Model Downloader](@ref omz_tools_downloader)
 - [Model Optimizer](../../../docs/MO_DG/Deep_Learning_Model_Optimizer_DevGuide.md)