I cannot think of anything that would give you what you need. I asked Copilot for an idea, and it returned information that was mostly unrelated to what you want to do. The only thing I can think of, which is probably not practical, would be to add a date field to your list named Folder Date. Then people would need to manually update this when they move the file to a new folder. It will be interesting to see if someone has a solution.
However, maybe take a different approach. When you mention the file is moved to a "specific folder," do you literally mean one specific folder? If so, use the trigger When an item or a file is modified and point it to that specific folder. Add a date field to your document library named Folder Date (or whatever) and use a trigger condition to see if the field is empty. If it is empty, populate it with the current date.
