I would advise against signing such a power of attorney. A bank account with beneficiaries listed on it is NOT part of the estate and is therefore outside the scope of the PR's authority. In all the years I've handled probate cases, I've never had a beneficiary execute a POA on favor of a PR.
I would strongly recommend that you seek out a Florida Probate/Elder Law attorney to represent your interests as beneficiary of your grandmother's estate.
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You should seek out an attorney who practices probate. The request by the Personal Representative for you to sign a Power of Attorney is not typical in probate proceedings. A bank account with a payable on death beneficiary would not be a part of the estate.