At this time exporting occurs at the document level only.
To export individual note cards
1) Drop the desired Note cards into a fresh document.
2) Merge your added Note into the document by selecting the green checkmark in the upper right-hand corner of the card.
2) If desired, add the tags to the document under your added Note contents.
3) Navigate to the blue Publish and select the desired destination to get your note-filled document out of Airstory: