Submitting Multiple EOIs

Hi all,

After missing out on the third round of invitations for VIC and not getting an invitation again, I started thinking of possible ways to increase my chances of getting an invitation. I read here and on other forums that people submitted multiple EOIs to different states and thought to try it. My agent, however, is very much against it. They told me multiple EOIs would hurt my chances of getting a state nomination 190 visa. Has anyone tried going down this route with any success?

For reference- I applied as a secondary school teacher to the 189, 190, and 491 visas with 70, 75, and 85 points, respectively.