If you copy a project in the IDE (by using "save as") the IDE copies only the project file to the new folder but keeps all units at their old place and changes in the new project all references to the old location. To get also the units you'll have to "save as" the units as well. But if you are not careful the IDE will change the references to the copied units, it even allows you to delete the old units. In any case, there is a high chance that you destroy both old and new the projects.
Therefore, I strongly recommend to go another way: Close the IDE and copy the project folder by the OS's file manager to a new folder. This copies all files, and you have two independent projects new. You can work on the new project, but still have the project in the old folder functional for reference.
Another way to copy a project is to use "Project" > "Publish project".
If you already had copied project files to a new folder first restore the old project. Close the IDE and copy all files from the new folder back to their original location. Then open the IDE, open the project options, "Compiler options" > "Paths" and fill all paths pointing into the new directory. Look at the file tree in the project options. Those files listed with a path to the new directory must be deleted and then re-added with their original path.