compleat / complete are similar-sounding terms with different meanings (referred to as homophones). To better understand the differences, see below for definitions, pronunciation guides, and example sentences using each term. 👇
compleat: NA
complete: (verb) come or bring to a finish or an end. (verb) bring to a whole, with all the necessary parts or elements. (verb) complete a pass. (verb) write all the required information onto a form. (adjective) having every necessary or normal part or component or step. (adjective) perfect and complete in every respect; having all necessary qualities. (adjective) having come or been brought to a conclusion.
compleat: NA
complete: k·ah·m·p·l·IY·t
(Examples are Wikipedia snippets under the CC ShareAlike 3.0 license. Definitions drawn from WordNet.)