Can't setup paid Microsoft 365 subscription on native iOS/iPad OS apps--no Microsoft login popup
Background: Paid Microsoft 365 (M365) subscriber with a custom domain. Trying to setup M365 on iPad (17.4.1) for use with native apps (mail, calendar, contacts). Microsoft's directions are here. It worked in the distant past, but I've been having mail-not-showing-up issues so I removed the account completely and I'm trying to re-add it now.
Issue: After clicking "Exchange" and entering my custom domain (step 3) the "Sign in to your..." modal box correctly shows up and I press "Sign In" per the directions. However, the next Microsoft box where I should enter my M365 password never shows up. Instead after a short pause it takes me to the native iOS modal box to enter the Exchange password which isn't correct [shown below], and doesn't work.
Instead, a box like this is supposed to show up, but does not:
I've tried without success: Restarting; using the Outlook.com built-in connector; using my non-custom domain M365 email; contacting Microsoft support (always useless); logging into M365 in Safari first; and disabling all VPNs and ad filters.
I've read across reddit, Microsoft, and Apple forms that for years users have had issues with trying to connect naive Apple iOS/iPad OS apps to Microsoft 365, but I've not seen a reason why there's issue nor a consistent solution. Any ideas or creative things to try?
iPad Pro (2nd generation)