Use CURA-10561 private data branch

Contributes to CURA-10561

conanfile.py

@@ -218,7 +218,7 @@ class CuraConan(ConanFile):
         self.requires("cura_binary_data/(latest)@ultimaker/testing")
         self.requires("cpython/3.10.4")
         if self.options.internal:
-            self.requires("cura_private_data/(latest)@ultimaker/testing")
+            self.requires("cura_private_data/(latest)@ultimaker/cura_10561")
             self.requires("fdm_materials/(latest)@internal/testing")
         else:
             self.requires("fdm_materials/(latest)@ultimaker/testing")