そうかと っっちゃう
sōkato i'' chau

Godan Verb (u)
Conjunction

The completive aspect (contracted form) - indicates completion or regret of そうかと言って

1. So desu to iicchau; ; — To say "so" (implying "that's how it is"); — To blurt out "so" (often with regret)

Completed Action
Colloquial