How do I move Brave profile data from Flatpak version folders to RPM version folders?

I am using Linux Fedora. I only use Brave but had to lower myself to use Firefox to get this message posted.

Fedora 39 and 40 - Brave browser crashes every time I open it.

I now see i installed it via Flathub, and the Brave website says that’s not as reliable as the RPM version (which I have just installed). I can’t get the Flathub version of Brave to run, crashes before it runs. So I can’t use any ‘sync’ features to move my tabs, data, bookmarks etc to the RPM version.

I am left with only Files approach. but I am totally confused.

The Flathub version stores its data in .var/app/com.brave.browser, the contents look like this:

The RPM version stores its data in ~/.cache/BraveSoftware/Brave-Browser. In there is one folder called ‘Default’, and the contents look like this:

Is anyone able to tell me how to move my flathub Brave profile data to the RPM Brave ‘Default’ folder?

thanks