You don't suffer from diminished value until you sale or trade the car. As such many insurance companies and states won't allow diminished value claims until you do sale or trade it in and some have a time frame.
You can try for it but don't be surprised if you are denied. Also you don't set the amount lost. If they agree to pay they will have it appraised and pay you the difference. I've rarely seen a diminished value claim go over $3-$4k on a new car. With your very high miles I would suspect less than that.
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