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/python/model_creation_sample/README.md

@@ -28,7 +28,7 @@ At startup, the sample application does the following:
 
 
 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.
 
 ## Running
 
@@ -127,7 +127,7 @@ The sample application logs each step in a standard output stream and outputs 10
 
 ## 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)