No, you don't need to do more than you have. You can file the return. You have a court order and can file as personal representative. Here is Form 1310. This will be included with your tax return. You will want to attach your court order by uploading it to file with your return. See Can I e-file a tax return for someone who is deceased?
I recommend the IRS How Do I File a Deceased Person interactive assistant. It is very detailed and may give you additional information.
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