This information is not supposed to be saved between sections, unless you use “restart player” and setup a save/load system for inventory. "Pick Random Character is a component added to the controller, and Pawn Cosmetics Component is its equivalent added to the Hero Shooter Mannequin.
To fully re-initialize the pawn after re-possessing it, “get game mode” + “restart player” will do the job, however the player character with its character parts will be spawned at a random Lyra player start AND without inventory. So, in c++, creating a custom “restart player at location” would be a possible alternative in addition to the save /load system to retrieve weapons.