feat(api): expose public api client

[hassiebp]

Important

Introduces public_api_client in Langfuse class for public API access, maintaining self.client for backward compatibility.

• Behavior:
  • Introduces public_api_client in Langfuse class for public API access.
  • Sets self.api to public_api_client for new API interactions.
  • Retains self.client as alias for public_api_client for backward compatibility, to be removed in next major release.

^{This description was created by for 45701b2. It will automatically update as commits are pushed.}

Greptile Summary

Disclaimer: Experimental PR review

Introduces changes to the Langfuse Python client to improve API client naming and accessibility while maintaining backward compatibility.

• Renamed client attribute to public_api_client in langfuse/client.py for better clarity
• Added new api attribute pointing to same client instance for modern usage
• Marked legacy client attribute for deprecation in next major release

[greptile-apps]

LGTM

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