URI:
_api/web/lists/GetByTitle('YourListName')/items(<ItemID>)/AttachmentFile
You need to replace 'YourListName' with the name of your list and ItemID with the trigger which I imagine has the item you are copying in it.
Headers: Accept: application/json;odata=verbose
Just a follow up does your original attempt with the out of the box request connectors look like this:
Actions in order
"Get Attachments" [Site Address:'YourSiteAddress', List Name:'YourListName', Id:'Item ID from trigger]
"For Each File in Get Attachments" ->
"Get File Content" [Site Address:'YourSiteAddress', File Identifier: Id from the loop item]
"Create File" [Site Address: 'YourCreateTargetSiteAddress', Folder Path: 'Select it manually to test', File Name: Something Unique or it breaks if it already exists, FileContent: 'Body of the get file content before']
Delay by a few seconds to prevent too many actions from being performed at once. -When testing try it first with all static values to remove chances of error.
Let me know if this fixes it or if we need to keep trying.