I want to be able to round out the 3 leftmost corners on this shape that I have created, any idea how that can be done?
I don't have a comment option yes, so I'm writing it as an answer..
you need to write as many points as possible to round the corner. Nothig else... for, example a few more points to make lower part bit rounder:
-webkit-clip-path: polygon(100% 0%, 100% 100%, 100% 100%, 25% 100%, 5% 70%,1% 60%, 0% 50%, 25% 0%);
oh, yes, or SVG as comment people here.. :)