I am getting error 5639 (Could not configure product update). The solution for error 5640 is not fixing the issue. I have WINDOWS 10, 64bit,

I am going to suggest these steps below. I think you might be having an issue other users have experienced when using Windows 10. 

1. Type "environment" in the windows search bar.  
2. This will bring up "Edit the System Environment Variables" as a match.   
3. Clicking on it takes you to the "Advanced" tab of a dialog box titled "System Properties."   
4. Near the bottom of the dialog box, click on the pushbutton labeled "Environment Variables...".   
5. This brings up a separate dialog box that shows the current values for user environment variables at the top and system variables at the bottom. In the list of user environment variables, you should see both TEMP and TMP, and their current values.   
6. Click on each, then click on the "Edit..." pushbutton.   
7. This brings up another dialog box in which you can change the "Variable value" to "C:\Temp" (be sure to change the variable value, not the variable name).   
8. This folder must, of course, exist for this step to work properly.   
9. OK out of all the dialog boxes and retry the install.   
10. Environment variable changes take effect immediately, so if this is the only change you make, it's not necessary to reboot.   

Or it could be that a portion of 2023 TurboTax needs the x86 version of the Visual C++ Redistributable package and the installer fails to install it.  You can obtain it from Microsoft:

https://learn.microsoft.com/en-us/cpp/windows/latest-supported-vc-redist?view=msvc-170