Anthropic Claude conversation integration

[Shulyaka]

Proposed change

Add Anthropic Claude conversation agent.

I've decided to not expose top_k and top_p parameters since they usually do more harm than good, but I can add them if required. The temperature is there.

Type of change

• Dependency upgrade
• Bugfix (non-breaking change which fixes an issue)
• New integration (thank you!)
• New feature (which adds functionality to an existing integration)
• Deprecation (breaking change to happen in the future)
• Breaking change (fix/feature causing existing functionality to break)
• Code quality improvements to existing code or addition of tests

Additional information

• This PR fixes or closes issue:
• This PR is related to issue:
• Link to documentation pull request: Add Anthropic integration home-assistant.io#33952

Checklist

• The code change is tested and works locally.
• Local tests pass. Your PR cannot be merged unless tests pass
• There is no commented out code in this PR.
• I have followed the development checklist
• I have followed the perfect PR recommendations
• The code has been formatted using Ruff (ruff format homeassistant tests)
• Tests have been added to verify that the new code works.

If user exposed functionality or configuration variables are added/changed:

• Documentation added/updated for www.home-assistant.io

If the code communicates with devices, web services, or third-party tools:

• The manifest file has all fields filled out correctly.
  Updated and included derived files by running: python3 -m script.hassfest.
• New or updated dependencies have been added to requirements_all.txt.
  Updated by running python3 -m script.gen_requirements_all.
• For the updated dependencies - a link to the changelog, or at minimum a diff between library versions is added to the PR description.

To help with the load of incoming pull requests:

• I have reviewed two other open pull requests in this repository.

[joostlek]

I'll hold off from reviews because I am unfamiliar with conversation and LLM tools

[tronikos]

It doesn't seem they allow individual use:

https://support.anthropic.com/en/articles/8987200-can-i-use-the-claude-api-for-individual-use

No. Access to the API is subject to our Commercial Terms of Service and is not intended for individual use.

[balloob]

Discussed with @Shulyaka and moving forward with this PR.

[Shulyaka]

Could you also reopen home-assistant/home-assistant.io#33952 and home-assistant/brands#5697 ?