In case anyone sees this before running into the issue themselves-
The cowl trim needs to go on while the windshield adhesive is still wet.
I took it off while I was waiting for the tech, and the tech didn't get to me that day. I left it off, and went to work the following morning- where I had them come do my replacement.
I went to put my trim back on today, and it won't go on. I'm thinking I now have to have them put another new windshield in. If I wouldn't have taken the trim off, it would have gone back on just fine- while the glue was still wet. The windshield is now too far down for the trim to fit back on. Its really pretty awesome.