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In order to have a life insurance policy on someone, you must have an insurable interest.
If your partner buys you out, then he no longer has an insurable interest. Therefore, he has no right to continue the policy on you.
You should demand that he assign the policy over to you, if you want to take over the policy. If you do not want to keep the policy, you can tell the insurance company to cancel it.
Good luck to you. I wish you all the best.