I do not understand your transcription well, but it is not ee / [i] but [e] or [ə]. Anyway, it is not important since vowel isn't stressed.
Yet another thing, the prayer you describe is that is used by Lutheran and other Protestants. They use modern Russian language. But Orthodox use Church Slavonic language written in Russian letters. So the prayer begins with "О́тче наш, И́же еси́ на небесе́х"