How to create different file names for every new document in Photoshop?

I have an A4 size document with 6 Photos, while I am trying to cut one photo from the original and create a new document the new file name is created as "Untitled-1".

Since I am using an Action to cut from original and paste it into the new document, every new file is opened with same name as "Untitled-1" and while saving it replaces the existing.

Is there any way to make every new document with sequence number in Photoshop?

Please find below screenshot for your clear understanding.