diff --git a/dev/breeze/src/airflow_breeze/global_constants.py b/dev/breeze/src/airflow_breeze/global_constants.py
index 21c9d84f133ac..48e47887e620f 100644
--- a/dev/breeze/src/airflow_breeze/global_constants.py
+++ b/dev/breeze/src/airflow_breeze/global_constants.py
@@ -330,6 +330,8 @@ def get_default_platform_machine() -> str:
     "2.10.0": ["3.8", "3.9", "3.10", "3.11", "3.12"],
     "2.10.1": ["3.8", "3.9", "3.10", "3.11", "3.12"],
     "2.10.2": ["3.8", "3.9", "3.10", "3.11", "3.12"],
+    "2.10.3": ["3.8", "3.9", "3.10", "3.11", "3.12"],
+    "2.10.4": ["3.8", "3.9", "3.10", "3.11", "3.12"],
 }
 
 DB_RESET = False
diff --git a/hatch_build.py b/hatch_build.py
index f757d2a598ccc..66f34adcdf5e7 100644
--- a/hatch_build.py
+++ b/hatch_build.py
@@ -436,7 +436,7 @@
     "cryptography>=41.0.0",
     "deprecated>=1.2.13",
     "dill>=0.2.2",
-    # Required for python 3.8 and 3.9 to work with new annotations styles. Check package
+    # Required for python 3.9 to work with new annotations styles. Check package
     # description on PyPI for more details: https://pypi.org/project/eval-type-backport/
     # see https://github.com/pydantic/pydantic/issues/10958
     'eval-type-backport>=0.2.0;python_version<"3.10"',