Add FastAPI inference example using OpenVINO (Windows-friendly)

[uvv-01]

What does this PR do?

Adds a minimal FastAPI-based inference example using OpenVINO, aimed at helping users quickly serve models via a REST API.

resolved #33970

Why is this needed?

• There is no simple FastAPI inference example in the repo
• Users on Windows face setup friction with existing examples
• This provides a clean, Python-only starting point

What’s included

• FastAPI inference script
• ImageNet labels
• Simple project structure under examples/fastapi

Follow-ups

• Improve documentation
• Add model download automation
• Add Linux + Docker notes

[uvv-01]

@sys-openvino-ci @adk9 @dmatveev @tpwrules @mlukasze can you approve my workflow.

[uvv-01]

.check

[krgkaushik]

LGTM! This is a clear and helpful example.

[uvv-01]

@krgkaushik Thanks a lot for the review! Glad you found it helpful

[uvv-01]

@mlukasze Hi,
This PR adds a FastAPI inference example under examples/ only.
CI workflows are awaiting approval.
PTAL when you get a chance — happy to address any feedback.
Thanks!