interview results

i recently interviewed for an intern role, and before the interview started HR noted candidates would hear back in “around a week.” the interview went very well, and i waited the week. after no response, i emailed my recruiter, and she said i would hear back “soon” as the final interviews were being conducted. it’s been almost 3 weeks since my interview, and i have another interview for a different role coming up soon. i’d rather take the first role i already interviewed for, but im wondering if the silence is a rejection? is a 3 week wait normal for an intern role, especially considering i’d need to get a clearance too?