Migrate airflow-ai-sdk to apache-airflow-providers-common-ai

This skill migrates Airflow projects from airflow-ai-sdk to apache-airflow-providers-common-ai (target 0.4.0+), the official Airflow AI provider built on PydanticAI. It also covers upgrading projects already on common-ai 0.1.x, since several capabilities (multimodal prompts, toolsets, embedding operators, structured-output XCom behavior) changed between 0.1.0 and 0.4.0.

CRITICAL: The new provider requires Airflow 3.0+ and (for 0.4.0) pydantic-ai-slim >= 1.71.0. The API surface has changed: LLM configuration moves from code (model strings/objects) to Airflow connections (pydanticai type). There is no @task.embed in the new provider; embeddings move to the LlamaIndex integration or a plain @task (see Step 3).

Before starting

Use the Grep tool with the pattern below to inventory everything that needs to migrate:

airflow_ai_sdk|airflow-ai-sdk|ai_sdk|@task\.llm|@task\.agent|@task\.llm_branch|@task\.embed

From the results, capture: