Is the following pathway legitimate (i.e. works as presented…

Is the fоllоwing pаthwаy legitimаte (i.e. wоrks as presented): Pyruvate -> Pyruvate Carboxylase -> Oxaloacetate -> Phosphoenolpyruvate Carboxykinase -> Phosphoenolpyruvate -> Pyruvate Kinase -> Pyruvate