Consolidate python-sdk examples with rest of examples/docs

[aleskalfas]

There are many examples in python-sdk that are very similar to the examples from docs. The goal is to consolidate these examples into the one catalog of examples in ./examples folder (see #1777) , properly tested and explained in doc.

[slothfrog]

@aleskalfas I'm interested in contributing to agent stack, and I heard there might be some opportunities for writing some examples. Does this issue still need help? Thanks

[dosubot]

Hi, @aleskalfas. I'm Dosu, and I'm helping the agentstack team manage their backlog and am marking this issue as stale.

Issue Summary

• You opened this issue to consolidate the existing python-sdk examples and docs/examples into a single ./examples catalog.
• The goal is to reduce duplication and keep one well-tested, well-documented source of truth.
• This work is intended to align with the broader effort tracked in Make default agents executable tested examples #1777.
• In the comments, @slothfrog asked whether the issue still needs help and offered to contribute examples for agent stack.

Next Steps

• If this is still relevant to the latest version of the agentstack repository, please comment here to keep the discussion open.
• Otherwise, this issue will be automatically closed in 7 days.

Thanks for your understanding and contribution.