What does 家出 mean?
家出 is a Japanese noun meaning “running away from home” in English. It can also be translated as “outing, becoming a Buddhist monk” depending on context. It is written as 家出 in kanji, いえで in hiragana, and iede in romaji. This word is part of JLPT N1 vocabulary.
Example sentence
舞が家出を敢行する、直前のことだろう。
That was probably just before Mai took the drastic step of leaving home.