saving exporting or bouncing my recording shows as greyed out file

You are misunderstanding what you see. What you see are destinations: a file cannot be a destination for a file, only folder can, so the files are greyed out. You are already inside a folder (the desktop is also a folder) so you can just click "save" (that button is not in view on your "screenshot") and it will be saved to your desktop. If you doubleclick any of those two folders, then your view will change: you'll se what is inside those folders, and if you click save, then your file will be saved inside that folder.

Files are always greyed out in a Save dialog. Only folders can be the destination for a save action. Files will not be greyed out in an "open" dialog (if the "open" action is from a program (like Logic) that can actually open those files).

You cannot save a file to a file, so that is why they are greyed out.

Again, if you just press "Save" (which is the button you should see bottom right of the dialog screen) then the bounce or export would be saved to that same folder as where the (greyed out) other files are in. You are not doing anything wrong, except for wrongly assuming that you cannot save. You CAN save.

Files are NOT a destination, they never were, and never will. Mac OS is showing them, so you can see that you are saving to a folder with some other files already in it. This is really basic stuff that you should wrap your head around.

Here you can see that the "Bounce" button is active, meaning I can save(bounce) that file inside this destination. I cannot save those files inside other files (as that would not make sense) so the files that are already in this folder, are greyed out. This is normal behaviour. If I click "bounce", the that bounced file will also show up in this folder.

Here I will bounce to the Bounces folder:

So, I clicked Bounce and now "Example" will be bounced to the folder that already contains three different files.

If I then want to bounce a second file, you can see that the first bounce is now also in this folder, and I can now bounce "Second Example" to this same folder

No, because it is not clear what you mean. Can you upload a screenshot of what you see? A "file" cannnot be greyed out.

If a destination is greyed out it may mean anything: from the disk being too full to store more files, or a disk that is improperly formatted, or a disk or folder that doesn't have the correct permissions set, or even something else.

First of all it is not wise to save anything to the desktop. But you are persevering in misunderstanding this. If you record, the files are automatically saved anyway. But you p[robably didn't pay attention as to what your initial destination was - you do not need to export anything after recording. All you need to do is to save the project (preferrably before you start recording) and then the recorded files will be saved inside the project folder.