> 1. You could go to the app and hit save, bringing up the save dialog, and then drag the folder (perhaps from the icon in the title bar) into the save dialog. This moves the save dialog to point to that folder.

I don't think drag and drop is the most intuitive, but it's way worse with Windows. I think there are at least four iterations of those Open/Save windows (dating to Windows 95).

A tool called Direct Folders [1] adds a recent menu that shows all open folders and revenge, making those windows slightly more usable

1: https://www.codesector.com/directfolders