When I try to log in to my business Bitwarden account in addition to my personal Bitwarden account, a timeout error occurs and my personal Bitwarden account is logged out.
And when I do these steps the other way around, I get the same problem with my business Bitwarden account.
I have reinstalled the app a few times from the Mac App Store and from the Bitwarden website, but see no difference.
It seems that the app cannot handle two Bitwarden accounts in one app.
Are you using the “+Add Account” option in the account switcher? Please provide more detail about the method that you are using to log in to the second account.