It can appear at first as if you only have the free version if you just go by the main menu upon first downloading the mod. What I've found works is one of two things:
1. Start a new game (get to the first meeting if you don't mind just skipping) and then close the game without saving. This should have the extended DLC working again upon restarting, and the main menu will change to reflect that. No idea why this works, and it won't 100% of the time. 😅
2. The ideal order for reinstalling when it comes to all this is Base Game - Extended DLC - Mod. Especially if working with the Steam version.
3. Check your game files to see if there's a persistent_variables.rpy file if all else fails. If there isn't it'd mean that you didn't install the DLC right, rather than the mod.
Hope things get to working again soon 👋🥰