It was not a "separate period of time", since Adam lived before and after the fall.
The Westminster Confession distinguishes between the covenant of works that was operative before mans fall and the covenant of grace after the fall. I agree with that distinction.
I also agree with the distinction, even "dispensation", of the old covenant and the new covenant, both being "dispensations" of the one covenant of grace.
In the future there will be eternity, the new heavens and new earth, where the righteous will dwell in their resurrection state.
Beyond that I do not admit to any useful, biblical distinctions in Gods salvation program.
You've given your answer. You don't consider The Garden of Eden to be a separate period of time.
Personally, I think there was a clear beginning and ending mentioned in the Bible itself.
I really don't see how we can continue discussing the Bible together.
You seem to be using a method of analysis and interpretation other than the evidence presented by the text.
It's been interesting discussing with you.