Yes, there is no doubt that approxiamately 2.09AM is best. You'll find that most little birdies are dopy at this time, and are too sleepy to react much as to being stubborn. With much exercise in this area and at this time of night, you will find you can get your birdie to "sit" or "lay on its back" and even "chirp" for a seed.
Friends will be utterly astounded to eventually see your budgie doing these weird and wonderful tricks.
Hope this helps.