Saving Mac OS Photos

I just purchased PhotoShop Elements 2020 for Mac from the Mac App store hoping it would integrate and work better than some recent versions.  I couldn't even get Photoshop Elements 2019 purchased from Adobe a year ago to open anymore even after redownloading and reinstalling.  Anyway, what I can't figure out is where my edited photos go.  I use MacOS 10.15.6 Photos to collect and organize and do exposure editing.  I only need Photoshop Elements if I need to do more than that.  So I can alt click a photo and select "Edit With" and select Photoshop Elements 2020 editor.  The app opens appropriately and I make my edits and have tried to save and save as, but I cannot find the edited photo.  I thought it would just go to the original folder and be visualized in my Photo album.  But it doesn't.  I can't even find it with the Spotlight search.  The only way I can find an edited photois if I do a save as and specify a folder or deskt or site outside of the Photos app.  What I want to do is save my edits into the original Mac OS Photos album.  How do I do this?

Thanks.