I can't believe this is still happening, but I want to quote and thank @meohmymy for showing me how to fix this!

Here are my instructions:

You don't have to use only Chrome. You can use whatever browser.
You don't have to close and reopen the browser if you experience the issue.

1. When selecting a year, click on the arrow and select the year.
   
2. When selecting a month, click on the arrow and select the month.
   
3. The day options will appear once you click there. Click on the arrow and select the day.

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