docs: database support (#60103)

Co-authored-by: raphaelauv <[email protected]>

Author: raphaelauv

airflow-core/docs/howto/set-up-database.rst

@@ -32,8 +32,8 @@ By default, Airflow uses **SQLite**, which is intended for development purposes
 
 Airflow supports the following database engine versions, so make sure which version you have. Old versions may not support all SQL statements.
 
-* PostgreSQL: 12, 13, 14, 15, 16
-* MySQL: 8.0, `Innovation <https://dev.mysql.com/blog-archive/introducing-mysql-innovation-and-long-term-support-lts-versions>`_
+* PostgreSQL: 13, 14, 15, 16, 17
+* MySQL: 8.0, 8.4, `Innovation <https://dev.mysql.com/blog-archive/introducing-mysql-innovation-and-long-term-support-lts-versions>`_
 * SQLite: 3.15.0+
 
 If you plan on running more than one scheduler, you have to meet additional requirements.