60days visa means you should have entered on a Single Entry Tourist visa. You cannot apply for an extension based on retirement directly. You need to follow these steps
1. apply for in-country Non-O based on retirement when your current stamp still has more than 15 days.
2. after 15 days of under consideration, go back to the immigration office to get a Non-O initial visa and admitted-until-stamp
3. apply for a 1-year extension based on retirement when your latest stamp has 30 days or less
Here are just general information.
Remember, You need to go to the immigration office you are applying at to get the latest handout for immigration-office-specific requirements.
This is general information for in-country Non-O retirement visa application
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/9.FOR-RETIREMENT-PURPOSES-50-YEARS-OLD-NON-O.pdf
Attached is general information for a 1-year extension based on retirement.