cannot open an additional 1099-R in TurboTax desktop 2024

Do you mean you can't add an additional 1099-R?  If so, enter 1099-R in the search feature and select Add/edit Form 1099-R. 

Refer to the TurboTax Help article Where do I enter my 1099-R? for information.

If that isn't what you need to do, reply back.

The add/edit button is not activating. It appears but does not do anything when clicked. Same for W-2, etc. I tried to re-install but that did nothing to solve the problem.

You should make sure your program is updated.  This can be done by logging into your desktop product.  Select Online in the menu on the top, and then select Check for Updates.

If that does not update your program, you can also manually update your program.