Description

This can be done in two parts:
Part 1:
Remove all imports of State in task-sdk from airflow core

Part 2:

• Move State class from airflow.utils.state to right location
• Update all imports in airflow-core to use the new State location
• Add deprecation warning in airflow.utils.init.py for backward compatibility

Use case/motivation

No response

Related issues

#53385
#51671

Are you willing to submit a PR?

• Yes I am willing to submit a PR!

Code of Conduct

• I agree to follow this project's Code of Conduct