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You don't need to reincarnate (which is how you would do it) to a higher class for the story as equipment will have a bigger effect on stats than levels.
If you want to reincarnate you can, noone is stopping you, but remember that when you do reincarnate you will go back to level 1, so if you can get levels quickly (or you don't mind a bit of grinding) you might consider it.
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