Generally if you want to store something you should store it in a Lectora User defined variable by using a Modify Variable action. If the user variable you create is set to retain the variable value between sessions we’ll save it for you.
The AICC prefixed variables do not start with Var, they are just referenced like AICC_Lesson_Status.set() although you shouldn’t need to set it this way. Instead try the Modify Variable action.
Here is a little more information on how we map variables to the SCORM specification: