The new design is already in Drive and Docs - And it's just a new UI for the same embedded account switcher that's existed. Odd that it prevents switching, but it's probably enough to deter at least 75% of people trying to sign up multiple accounts for the waitlist.

All I want is to be able to select a "default" account in that list. Or reorder them. Currently if you type 'gmail.com' it automatically goes to the first account you logged in with (in the url as numbers /1/ /2/). It's annoying to have to manually log them all out to reorder this.

That's been the case for a while, i'm sure it has come up before and there's some tech debt or external system (maybe the android and chrome account switcher integrations?) that prohibit them from changing it without a massive user-facing behavior change.

For bard specifically, you can do ?authuser=x where x is the account number as defined by other apps like Gmail or Drive.

Luckily https://bard.google.com/u/1 works to use the 2nd logged in Google Account.