@ChaCha Chang Apologies for the delay in response and all the inconvenience caused because of the issue.
I followed this article which holds true for all Azure service and I can confirm I got the Sign-In option within a min. after clicking on create button as below:
Clicking on Sign-In then redirected me to chose Azure accounts I want to select and I was successfully able to Connect:
The fact that it stuck might be some glitch or network issue as well. I would suggest you to again try out fresh and let me know if it is working for you or not.
Hope it helps!!!
Please "Accept as Answer" if it helped so it can help others in community looking for help on similar topic.