Clicking
and
together brings up the camera mode in Origins, at which point you can pan around, and press
to take a photo.
The quickest way to get this without having unlocked multiple fast travel points is to take to the sky with Senu, the eagle.
Once you're in the air, click
and
and take a nice artistic photograph, then return to flying. Use the map to locate the nearest territory (Alexandra, Siwa, Black Desert, etc) and head over there, boosting with
for speed.
If you haven't already been there, you'll get a notification when you reach it and the area will become 'defogged', edging you just a little closer to
Click
and
again, take another photo and repeat until you have taken photos in five different territories. Shouldn't take too long, but every minute will help toward
so it's not a complete loss.
Others have suggested that Bayek has to be in the photo - I definitely did not find this, however I did take photos of Senu, so it may be worth ensuring she is in the frame, just in case.