Green’s Dictionary of Slang

la-di-da(h)! excl.

[la-di-da(h) adj. (1)]

a derog. excl. implying the recipient is pretentious or snobbish.

[US](con. 1930) J. Havoc Early Havoc 203: ‘Patsy [...] is as close to being a gentleman as anybody I know.’ Scotty laughed out loud. ‘La-dee-da!’ he hooted.
[UK]J. Cameron Brown Bread in Wengen [ebook] ‘Miss Mannion,’ went Rupert. ‘Oh lah-di-dah,’ goes Noreen.
[US]W.T. Vollmann Royal Family 543: Well, la-di-da.