I would really appreciate the ability to change the appearance of my characters. The race, gender, and appearance of characters don't alter gameplay except for D-pad actions, so it would in no way cause any game exploits. Even if there is a minimum waiting period between changes or even a glimmer cost, I would really like to change the appearance of my characters without starting a new game.
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I think one should be able to change their character's appearance with the only restrictions being race and gender.