I gave up on Hotmail many years ago, after I kept getting locked out of my accounts. If you're determined to stick with it though, at least access your account in the way that's best on Android devices, which is to use a dedicated app, rather than webmail. (When email was first invented, there was never any intention that anyone should be able to access it via a web browser. The idea was that people would use email clients, such as Outlook, Outlook Express or Thunderbird, on a PC. Although webmail can be handy, it will always be second best to doing things 'properly' with a dedicated email app).
So install the Microsoft Outlook app
https://play.google.com/store/apps/details?id=com.microsoft.office.outlook&hl=en_GB&gl=US
and follow the instructions here:
https://www.alphr.com/hotmail-from-phone/
Then you'll no longer be reliant on cookies on your web browser, enabling you to access your account far more easily.