Given a list of strings, decide whether it begins as a haiku and then determine if a haiku exists anywhere within the string. Treat each list element as one line of English text. Return a dictionary with begins and exists booleans, using a deterministic syllable estimator based on vowel groups and silent trailing e rules. A haiku consists of three consecutive lines with 5, 7, and 5 syllables.
e ruledef analyze_haiku(lines):