[ftue_auto_register] wrapped registration pybind calls with ExecuteWithLock

Code/Tools/ProjectManager/Source/PythonBindings.cpp

@@ -312,6 +312,10 @@ namespace O3DE::ProjectManager
     }
 
     bool PythonBindings::RegisterThisEngine()
+    {
+        bool registrationResult = true; // already registered is considered successful
+        bool pythonResult = ExecuteWithLock(
+            [&]
             {
                 bool registerThis = true;
 
@@ -331,15 +335,16 @@ namespace O3DE::ProjectManager
                     }
                 }
 
-        bool result = true;
                 if (registerThis)
                 {
-            auto registrationResult = m_registration.attr("register")(m_enginePath.c_str());
-            result = (registrationResult.cast<int>() == 0);
+                    auto result = m_registration.attr("register")(m_enginePath.c_str());
+                    registrationResult = (result.cast<int>() == 0);
                 }
+            });
 
-        AZ_Assert(result, "Registration of this engine failed!");
-        return result;
+        bool finalResult = (registrationResult && pythonResult);
+        AZ_Assert(finalResult, "Registration of this engine failed!");
+        return finalResult;
     }
 
     bool PythonBindings::ExecuteWithLock(AZStd::function<void()> executionCallback)