Hi Kevin Shaw
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From your description, I understand that your secondary account (@outlook.com) still works on your Android phone but adding it to Outlook on your PC triggers a security check that sends a verification code to your recovery Hotmail address and the code never arrives.
I can see there’s a Q&A Assist reply under the post. To avoid repeating it, have you already tried those steps yet? And just to confirm, can you sign in to that @hotmail.com recovery inbox on the web and receive any new emails there?
Also, to avoid repeating what you’ve already done, please try the following:
1, Confirm whether Microsoft security emails are being delivered to the Hotmail recovery mailbox
If codes aren’t arriving, you may need to use another method or wait and retry. Please sign in to the Hotmail recovery mailbox on the web and look in Inbox + Junk/Spam folder for the code email, then request a fresh code once.
2, While you’re still signed in on Android, add a new verification method you control
Since you can access the account on your phone, use that "trusted access" to add a new way to sign in/verify (for example: an alternate email, Microsoft Authenticator, or passkey) so it appears as an option next time you’re prompted for a code.
Please try to add at least one working method, then try adding the account to Outlook again.
You can see Microsoft account security info & verification codes - Microsoft Support
For more details, you can see this official guide: Troubleshoot Microsoft verification code issues - Microsoft Support
Please feel free to let me know how it goes. I truly appreciate your time and understanding.
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