Does the Series X in this bundle come with a disc drive?

Yes it has a disc drive since it's the carbon black. The ones without a disc drive are white.

series x has disc drive and the series s does not

smart delivery is so it downloads the content for the specific console

hence why the game case has series x and xbox one advertised on it. the disc can be used in series x and xbox one consoles, the series s does not have a drive therefore requires digital purchase.

It actually does. I got the Series X this holiday at $349, and the same disc is working perfectly. I have determined that the Xbox One X disc drive is trying to read Cross Gen discs differently than Xbox One discs. The disc drive on the Series X doesn’t have this issue. You might need a new disc or you might need to send your Series X for maintenance.

You have names mixed up. There are no consoles named the Xbox One Series S or Xbox One Series X.

The Xbox One/One S/One X all have a disc drive.

The Xbox One S All Digital Edition does not have a disc drive.

The Xbox Series X has a disc drive.

The Xbox Series S does not have a disc drive.

All the consoles can play backward compatible games. The Series S and One S all digital edition can only play games digitally downloaded.

The other consoles can play games from disc and from digitally downloaded,

I hope this clears things up for you.

Unfortunately yes. Otherwise, you'd need the Series X which does have a disc drive.