[ftue_auto_register] add logic to auto register engine if it is not already

Code/Tools/ProjectManager/Source/PythonBindings.cpp

@@ -286,6 +286,30 @@ namespace O3DE::ProjectManager
             m_registration = pybind11::module::import("cmake.Tools.registration");
             m_engineTemplate = pybind11::module::import("cmake.Tools.engine_template");
 
+            // register the current engine if it isn't already
+            bool registerThis = true;
+            auto allEngines = m_registration.attr("get_engines")();
+            if (pybind11::isinstance<pybind11::list>(allEngines))
+            {
+                for (const auto& engine : allEngines)
+                {
+                    AZ::IO::FixedMaxPath enginePath(Py_To_String(engine["path"]));
+                    if (enginePath.Compare(m_enginePath) == 0)
+                    {
+                        registerThis = false;
+                        break;
+                    }
+                }
+            }
+
+            if (registerThis)
+            {
+                auto registrationResult = m_registration.attr("register")(m_enginePath.c_str());
+
+                AZ_Error("ProjectManagerWindow", registrationResult.cast<int>() == 0,
+                    "Registration of this engine failed!");
+            }
+
             return result == 0 && !PyErr_Occurred();
         } catch ([[maybe_unused]] const std::exception& e)
         {