Frame rate issues with PNG image sequences
To give some context, I use Adobe Flash/Animate to add animations to video footage. I'm not formally trained, so I've been figuring it out as I go.
My process: I'll trim a video file down to several small clips and embed a clip into the Animate timeline. I'll animate some scenes, and export the scenes as a PNG image sequence. I'll then import those image sequences into Premiere Pro and sync it up with the original video file. The end product looks really cool.
I'm having a particular difficult time with the current project though. The original video file is 29.97 fps, I trim them into clips that are 29.97 fps, and I put them into an Animate project that is 29.97 fps. I don't see any way to control the way it's exported, but when I import the image sequence into a Premiere Pro project that's timebase is at 29.97, they show up by default as 24 fps. I change the default to "assumed frame rate" and mark it as 29.97, but there's a huge discrepancy between the image sequence and the original video file.
Here's a picture of the image sequence in the timeline at its default 24 fps. If everything was working correctly, it would match up perfectly with the clip right below it.

Now I've changed the settings on the image sequence, to an assumed frame rate of 29.97. That's the frame rate of the project and the clip right below it. Again, they should match up perfectly. Somehow they don't even come close.

I'm tearing my hair out on this one. Maybe this is more convoluted than it has to be, and someone can suggest an easier way? I can't figure out what I'm doing wrong here. Everything should be at 29.97 fps, but it's not.
Any help you can give me would be greatly appreciated; I'm sort of under a time constraint here. This is work for a client.
