chore(llmobs): move agent manifest to _dd field

[ncybul]

Description

This PR nests the agent manifest under the _dd field within the metadata which will be filtered out on the FE. The goal is to move all fields that are internally used to this nested scope to avoid clashing with user-submitted metadata.

Corresponding PR to update the FE to check for the agent manifest under this new scope.

Testing

Risks

Additional Notes

[cit-pr-commenter-54b7da]

Codeowners resolved as

.github/CODEOWNERS                                                      @DataDog/python-guild @DataDog/apm-core-python
ddtrace/llmobs/_integrations/claude_agent_sdk.py                        @DataDog/ml-observability
ddtrace/llmobs/_llmobs.py                                               @DataDog/ml-observability
tests/contrib/claude_agent_sdk/test_claude_agent_sdk_llmobs.py          @DataDog/ml-observability
tests/contrib/crewai/test_crewai_llmobs.py                              @DataDog/ml-observability
tests/contrib/google_adk/test_google_adk_llmobs.py                      @DataDog/ml-observability
tests/contrib/langgraph/test_langgraph_llmobs.py                        @DataDog/ml-observability
tests/contrib/openai_agents/test_openai_agents_llmobs.py                @DataDog/ml-observability
tests/contrib/pydantic_ai/utils.py                                      @DataDog/ml-observability

[datadog-datadog-prod-us1]

✅ Tests

🎉 All green!

❄️ No new flaky tests detected
🧪 All tests passed

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[chatgpt-codex-connector]

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[brettlangdon]

Not sure why I was pulled as codeowner for: tests/contrib/claude_agent_sdk/test_claude_agent_sdk_llmobs.py

might need to update CODEOWNERS

but regardless, this change lgtm

[ncybul]

/merge

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[ncybul]

/merge

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