Magia Record is a spinoff gatcha game to Madoka Magica. It includes characters from Madoka Magica, Tart Magica, Oriko Magica, Kazumi Magica, and Suzune Magica. However, the main characters are new ones created for the game.

The game itself takes place in a parallel universe to the main Madoka Magica anime and isn't set in a time loop of the original series.

If you decide to combine it with Madoka Magica, I am fine with that. I just wanted to give some clarification.