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Articles (an / the / both (an or the) ideal time to do it)

4 years ago
Hello, everyone!
In the sentence,
"On the 1st of January 2000, I opened my dream shop. I’d taken (1) - retirement from my job at an insurance company, and (2) the turn of the millennium seemed (3) an / the / both ideal time to do it."
I need to choose the correct article for the third question. I can choose an, the or even both. I am in two minds which one to choose.
Could you tell me which answer is correct and why?
Thank you!

P.S.: The instruction says that in this exercise it is possible to choose both meaning that both articles are fine. If this is the case could you please explain why?