I subscribe to HBO/Max via Amazon Channels. How do I get HBO on my Direct TV Satellite?

When I subscribed to HBO through Directv I also was able to create an HBO account and stream HBO/Max with the their App on all my streaming devices.  So I could watch and record HBO using Directv, and also stream using the Max App at no additional cost.

I cancelled HBO on Directv and was think of subscribing to HBO/Max through my Amazon Prime channel, easier to manage with that account.

It seems to me if I do that then I should be able to have HBO on my Directv at no cost.

It should be included both ways,  HBO Satellite to Max Stream, and Max Stream to HBO Satellite.  I should not need to buy another subscription just because I have a HBO/Max account via Amazon Prime Channel.

How does this work?????

https://forums.att.com/conversations/watching-max/hbo-hbo-max-on-direct-tv/64aad11ce74426030b84312e?commentId=64ac3ec37b5b2b59a5227a6e