@kitten Well it is not exactly the same, in "Hochdeutsch". But you'll be able to get away with it as probably everyone will think it is just your dialect...
same with Bäume, Träume, freuen, and Eule ( the "äu" variant just tends to be a plural form of "au" )
PS/side note: technically there could be small differences in pronunciation (like … in school we learned to pronounce both "äu" and "eu" as though both respective letters were spoken very fast after each other, which could be ever so slightly different), but roughly no one will care about that in practice, especially compared to the variation from regional dialects