Hi TomRoeNE
Thanks for reaching out to our Microsoft Community Forum and please accept our warmest regards and sincerest hope that all is well.
From the description and photo you provided it seem you can't login with a different Microsoft account in your Google Chrome web browser when visiting our careers website.
It look like Google Chrome is set to remember your old @live.com account and logs in automatically to that account when visiting any Microsoft website. So a simple solution to that is to use a different web browser like Microsoft Edge or Mozilla Firefox when visiting the careers website.
Feel free to reply to this thread if you need further clarification.
Sincerely,
Glenn Rue
Consumer M365 Forum Moderator
Microsoft Community