diff --git a/backend/uv.lock b/backend/uv.lock
index a304fe3..b578c53 100644
--- a/backend/uv.lock
+++ b/backend/uv.lock
@@ -7,31 +7,40 @@ resolution-markers = [
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     "python_full_version >= '3.15' and sys_platform != 'emscripten' and sys_platform != 'win32'",
     "python_full_version == '3.14.*' and platform_machine == 'ARM64' and sys_platform == 'win32'",
+    "python_full_version == '3.13.*' and platform_machine == 'ARM64' and sys_platform == 'win32'",
+    "python_full_version < '3.13' and platform_machine == 'ARM64' and sys_platform == 'win32'",
     "python_full_version == '3.14.*' and platform_machine != 'ARM64' and sys_platform == 'win32'",
     "python_full_version == '3.14.*' and sys_platform == 'emscripten'",
     "python_full_version == '3.14.*' and sys_platform != 'emscripten' and sys_platform != 'win32'",
-    "python_full_version == '3.13.*' and platform_machine == 'ARM64' and sys_platform == 'win32'",
     "python_full_version == '3.13.*' and platform_machine != 'ARM64' and sys_platform == 'win32'",
-    "python_full_version == '3.13.*' and sys_platform == 'emscripten'",
-    "python_full_version == '3.13.*' and sys_platform != 'emscripten' and sys_platform != 'win32'",
-    "python_full_version < '3.13' and platform_machine == 'ARM64' and sys_platform == 'win32'",
     "python_full_version < '3.13' and platform_machine != 'ARM64' and sys_platform == 'win32'",
+    "python_full_version == '3.13.*' and sys_platform == 'emscripten'",
     "python_full_version < '3.13' and sys_platform == 'emscripten'",
+    "python_full_version == '3.13.*' and sys_platform != 'emscripten' and sys_platform != 'win32'",
     "python_full_version < '3.13' and sys_platform != 'emscripten' and sys_platform != 'win32'",
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