Giving you another easy way to download and keep it up to date, the Dolphin Emulator for GameCube and Wii is coming to Steam. Even though it's going to be on Steam, they don't dare mention Nintendo directly on the Steam page: "Dolphin is an emulator for the big N's 6th and 7th generation consoles, featuring enhancements such as increased resolution, save states, and netplay."
In their official blog post, they said to expect a feature article going over the features of the Steam release later, as this has been a "product of many months of work". This will make getting it on Steam Deck easier than ever, and they've even confirmed it will support Cloud Saves too.
Naturally, the Steam release is just the emulator, you will still need to have your own copy of games to run in it.
They haven't given an exact date, other than the plan is to have it in Early Access on Steam by the end of 2023. They're going with Early Access as some Steam specific features aren't finished yet, plus they want to gather feedback on what people want from the Steam release.
You can follow it on Steam.