Celery worker fails to serve logs when using gevent pool type

### Apache Airflow version 3.1.5 ### If "Other Airflow 3 version" selected, which one? _No response_ ### What happened? When configuring a celery worker to use the "gevent" pool type, task logs in the frontend UI for task runs will fail to return instead erroring with ``` Log message source details sources=["Could not read served logs: HTTPConnectionPool(host='{workername}', port=8793): Read timed out. (read timeout=5)"] ``` Seems to have been caused by moving the worker's log functionality to FastAPI in 3.1.x. Gevent's monkey patching breaks async behavior there. Links/details below. ### What you think should happen instead? Logs should successfully return when visiting a task run in the UI. ### How to reproduce 1. Setup an Airflow site with a single celery worker 2. Configure the worker to use the gevent pool type ``` [celery] # ... snip ... pool = gevent ``` 3. Run a task on the worker 4. Attempt to view the log for the task run in the UI ### Operating System SUSE Linux Enterprise Server 15 SP5 ### Versions of Apache Airflow Providers apache-airflow-providers-apache-kafka 1.11.0 pypi_0 pypi apache-airflow-providers-atlassian-jira 3.3.0 pypi_0 pypi apache-airflow-providers-celery 3.14.0 pypi_0 pypi apache-airflow-providers-cncf-kubernetes 10.11.0 pypi_0 pypi apache-airflow-providers-common-compat 1.10.0 pypi_0 pypi apache-airflow-providers-common-io 1.7.0 pypi_0 pypi apache-airflow-providers-common-sql 1.30.0 pypi_0 pypi apache-airflow-providers-docker 4.5.0 pypi_0 pypi apache-airflow-providers-elasticsearch 6.4.0 pypi_0 pypi apache-airflow-providers-fab 3.0.3 pypi_0 pypi apache-airflow-providers-http 5.6.0 pypi_0 pypi apache-airflow-providers-influxdb 2.10.0 pypi_0 pypi apache-airflow-providers-microsoft-mssql …