So, I looked at it and realized that there is a bug! The variable checking for progression through Chloe's story line had a typo, so I've reuploaded the html with a fix. If you've downloaded it, you will have to download again, but if you are just using the web link, you should be able to just save a refresh to have it update.
Then you should have the option to Try Pushing Him Further when you visit Felix.