This song seems, at least to me, like something describing something that is wanted really badly, but cannot be attained. This unattainable thing is causing a lot of grief, such as shedding morning tears, and drinking it away with champagne does not help.
The phrase "Tea With Cinnamon" probably is a representation of the said thing causing the grief and sadness, rather than it literally being tea. It is the barrier or obstacle that needs to be overcome, but so far keeps standing in the way. This is shown by the line "Defeated yet again, By tea with cinnamon," as the obstacle is still in the way, and the attempts to surpass it have failed.
This song could also be referring to a struggle with depression. Disordered sleep and excessive crying are symptoms of clinical depression. The line "It's so beautiful" could refer to the time before depression, which, in hindsight, looks like a joyous carefree time, a heaven of sorts. Then it is remembered that "it's not real," and that, right here and right now, it is not a joyous carefree heaven. It is hell on earth. You cannot be satisfied, and would feel that it could never last. In that kind of situation, one could sit and try to drink the problems away with alcohol such as champagne. The line "I am very sane" seems like more of a reassurance to oneself that they are sane and everything will be fine. The lines "Another day is gone and I can not outrun, The time is closing in let the sleep begin" could refer to being so depressed for so long that there is no other way than death, or an eternal sleep.