Correct spelling for the English word "coatmail" is [kˈə͡ʊtme͡ɪl], [kˈəʊtmeɪl], [k_ˈəʊ_t_m_eɪ_l] (IPA phonetic alphabet).
The word "coatmail" does not have its own distinct etymology. It is a portmanteau or blend of two words, "coat" and "mail".
The word "coat" originated from the Old French word "cote", which meant a long outer garment or robe. It eventually entered the English language in the 14th century with the same meaning, referring to a garment worn over other clothing.
The word "mail" has its origins in the Latin "macula", which meant a mesh of metal rings. This evolved into the Old French "maille", which referred to a mesh fabric made of metal rings. In English, "mail" came to specifically denote armor made of metal rings, such as chainmail or a coat of mail.