Fix documentation issues: deprecated session references, multi-turn guidance, ADK clarifications

[devin-ai-integration]

Fix documentation issues: deprecated session references, multi-turn guidance, ADK clarifications

Summary

This PR addresses multiple documentation issues identified from user feedback, focusing on deprecated terminology, missing guidance, and integration clarifications. The changes include:

• Updated deprecated @session references to @trace throughout v2 documentation
• Added comprehensive multi-turn conversation guidance with code examples for grouping multiple requests/responses in single traces
• Added ADK integration clarification to prevent duplicate trace confusion with troubleshooting guidance
• Improved transition documentation from basic 2-line setup to advanced customization with progressive complexity levels
• Added deprecation notices to v1 documentation referencing @session and sessions

GitHub Issues Created: #1169, #1170, #1171, #1172, #1173 (all assigned to Dwij)

Review & Testing Checklist for Human

• Test multi-turn conversation code examples - The new examples in traces.mdx contain substantial untested code that should be verified to work correctly
• Verify ADK duplicate trace advice - Confirm the troubleshooting guidance for ADK + LiteLLM integration matches actual behavior
• Test progressive complexity examples - Ensure the 4-level progression examples in quickstart.mdx are functional and execute without errors
• Validate @session to @trace migration completeness - Check that the migration doesn't miss any behavioral differences that could break user workflows

Recommended test plan: Run the multi-turn conversation examples and progressive complexity code snippets in a test environment to verify they execute correctly and produce expected AgentOps trace data.

---

Diagram

%%{ init : { "theme" : "default" }}%%
graph TD
    A["docs/v2/concepts/decorators.mdx"]:::major-edit
    B["docs/v2/concepts/spans.mdx"]:::minor-edit  
    C["docs/v2/concepts/traces.mdx"]:::major-edit
    D["docs/v2/examples/google_adk.mdx"]:::major-edit
    E["docs/v2/quickstart.mdx"]:::major-edit
    F["docs/v1/concepts/decorators.mdx"]:::minor-edit
    G["docs/v1/concepts/sessions.mdx"]:::minor-edit
    
    H["User Feedback"]:::context
    I["AgentOps SDK"]:::context
    J["@session decorator"]:::context
    K["@trace decorator"]:::context
    
    H -->|reported issues| A
    H -->|reported issues| C  
    H -->|reported issues| D
    H -->|reported issues| E
    
    A -->|updated references| J
    A -->|updated references| K
    C -->|added multi-turn examples| I
    D -->|added ADK guidance| I
    E -->|added progressive examples| I
    
    subgraph Legend
        L1["Major Edit"]:::major-edit
        L2["Minor Edit"]:::minor-edit    
        L3["Context/No Edit"]:::context
    end
    
    classDef major-edit fill:#90EE90
    classDef minor-edit fill:#87CEEB
    classDef context fill:#FFFFFF

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Notes

• All code examples added are untested and should be verified before merge
• The ADK instrumentor analysis was based on source code reading, not runtime testing
• Changes maintain backward compatibility by keeping deprecated @session examples in migration sections
• Session requested by Alex (meta.alex.r@gmail.com)
• Link to Devin run: https://app.devin.ai/sessions/e868696e9c254081b502cbc1986ba754

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