Effect of Taking the ACT multiple times on admission

I took the ACT 3 times; my most recent one was a 34 and my counsellor says that that one is all that matters. But do adcoms not like seeing that an applicant has taken a test multiple times? My two others were both 30.

most score choice, so you only have to send the 34 (unless applying to Duke or Upenn or Yale or a few others.)