I want to print my 2023 tax document. I don't want to transfer my 2024 statements as I'm not going to file with Turbotax nor do i want to be charged for 2024 filing.

You won't get charged unless you enter your credit card.  You can start 2024 for free. 
How to Access prior year online returns
https://ttlc.intuit.com/community/prior-year-return/help/how-do-i-access-my-prior-year-return/00/27010

If you can't get the side menus to open up to access the prior year..... You need to start entering some basic Personal Info in 2024 for the side menu to open up. Just continue a little ways into 2024. I had to go though about 12 screens.

If you used the Desktop CD/Download program then the only copy is on your computer and not saved or stored online. So you need to make and keep your own backups.