a permanent (hair treatment)

next week

schedule / plan

be planned / expect

the week after next

Synonym of パーマネント (pāmanento, “permanent”); a permanent wave (series of waves in the hair)

(chiefly women's speech) first person singular pronoun: I, me

to address someone, to direct, to do (something to someone) / to be about to, to begin / in the middle of, to begin (not complete)

賭け: gambling, betting / 掛: credit / soba served in a hot soup

成り掛ける: to be on the verge, to be on the brink.