No you can never use albeit before a complete sentence; it is used with subordinate clause... you need to take into account though, that “albeit” is no longer a common word in English: His proposal, albeit a feasible one, wasn’t appreciated by members of the assembly. His speech, albeit a little complicated at times, was watched and shared by over a million viewers.

"albeit" qualifies the main idea. You can't arbitrarily shift the focus to the object as in your sentence. - I ate the curry albeit being quite spice => I ate the curry even though it was quite spice. Possible usage of "albeit" in your sentence: - I ate the curry, albeit just a tiny bit = I ate the curry, even though it was just a tiny bit. In this example, "albeit" works on the main idea of eating, so it is okay. On the other hand, "albeit" might be too fancy a word for such a simple sentence.

I think it should be said that you will see albeit + sentence, as in *I went to the beach, albeit it was raining. As far as I am concerned this is wrong - but as I say you do occasionally see it. Albeit is such a rare word that most native speakers don't know how to use it. In almost all cases you can replace it with "(al)though".

Albeit is formal to the point of comedic. Do not use it when you speak English.