add async-thinking example

[red1-for-hek]

Adds async-thinking.py to the examples folder — the async equivalent
of the existing thinking.py.

This follows the same pattern used by the other async examples:

• async-chat.py mirrors chat.py
• async-generate.py mirrors generate.py
• async-tools.py mirrors tools.py

Also updates examples/README.md to list the new example.

[Copilot]

Pull request overview

Note

Copilot was unable to run its full agentic suite in this review.

Adds a new async example demonstrating “thinking mode” usage with the Ollama AsyncClient, and links it from the examples README.

Changes:

• Introduce examples/async-thinking.py async script that calls AsyncClient.chat(..., think=True) and prints thinking + response.
• Add the new example link under the “Thinking (generate)” section in examples/README.md.

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 3 comments.

File	Description
examples/async-thinking.py	New async example for enabling and printing model “thinking” output.
examples/README.md	Adds a link to the new async thinking example.

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