Correct spelling for the English word "out lawest" is [ˈa͡ʊt lˈɔːst], [ˈaʊt lˈɔːst], [ˈaʊ_t l_ˈɔː_s_t] (IPA phonetic alphabet).
The word "outlawest" is not found in the English language. However, we can break down the term "outlaw" to understand its etymology.
The word "outlaw" originated from Old English as "ūtlaga", which combined "ūt" meaning "out" and "lagu" meaning "law". An outlaw was someone who had been declared as outside the protection of the law or was subject to being apprehended or killed without legal consequences.
The term then evolved through Middle English as "outlawe", retaining the same meaning. Over time, it became associated with someone who has committed a crime and is being pursued by the authorities. Eventually, the modern word "outlaw" emerged, referring to someone who has defied the law and is considered a fugitive or criminal.
Please note that "out lawest" is not a recognized term and doesn't have a specific etymology.