HBO Max is running a limited-time discount on annual subscriptions, coming just as the “House of the Dragon” season 3 premiere episode drops, and days before Prime Day arrives. In fact, this new streaming deal is so good that I doubt Amazon’s annual savings extravaganza will beat it.From now until July 15, new and returning HBO Max subscribers can save 40% on a yearly plan. This deal is available on all three tiers: Basic With Ads, Standard, and…