Have you read the relevant section of Getting indexed on Search & Browse?

Indexing can take a day or two, depending on a few factors. This can take longer outside of business days, or if this is your first paid project.

Hope that helps.

these emails come a few hours after we publish the games. So I assumed this emails indicated indexing. that’s why we’re puzzled.

Those emails do not mean your page is indexed, only that your game is published. As a reminder, a published game can be viewed by anyone by URL, your profile, and via your account activity. An indexed game is one that is added into our search and browse pages.

Hope that helps