Flamingo

The Flamingo is a rare-tier pet tied to the Summer Update, and the only way to chase it is through the Rare Summer Egg. What makes this one tricky isn't the egg's internal odds so much as availability: the Flamingo has roughly a 17% chance of even appearing in the egg shop rotation, so before you worry about hatching it, you first have to catch a stock window where the Rare Summer Egg is actually being sold.

Because it sits at the rare tier rather than mythical or divine, the Flamingo is more of a collection and display pet than a meta-defining money-maker. Players who want it usually buy it for the summer-themed aesthetic and to round out an egg-pool completion, not because it carries a game-warping passive.

My honest take: if you log in during a Summer Update stock window and the Rare Summer Egg is listed, it's a low-commitment buy worth grabbing. Don't overpay second-hand for a rare-tier pet, though, and don't grind shop refreshes expecting guaranteed results — the 17% shop appearance means patience matters more than Sheckles here.