Yes, of course.  As I stated in my original post, when I did so, the message I received was to call.  This is the full text:

Need help resetting your password?

To attempt this, I am using a laptop, which is connected to my home WiFi network.  At xfinity.com/password, there is no "verify another way" option.  When I called the 1-800 number, and asked to speak to an agent in excess of 4 times, the best I could get was to text with someone, who then spent so long not responding, that the session expired.  So if I can't chat with someone, and can't call, and can't actually do this online, what is a customer to do?  To be clear, this is a password reset that was apparently initiated by xfinity.  Outlook stopped connecting, and when I went to log in to see the issue, it said I had to reset it.  

Thank you, @user_488c5a I understand exactly where you are coming from with the trouble you are having trying to reset your password. Do you currently have a phone number added to your account to verify another way? If not, I do apologize you would need to contact our customer service to get that added to your account.-Richard

Yes, there is a phone number associated with my account.  However, I am not given the option to verify.  As I stated, I am told to call customer service, and as I have also stated, I have been attempting to call customer service.  When I do, it won't let me speak to anyone.  It only offers to send me a text to chat.  So I did that, and they terminated the chat without helping.  So that is why I am utilizing this forum - to find out how to actually get in touch with customer service.  It is frustrating that I keep being told to call customer service, but customer service wants me to use these resources.  How do I actually talk to someone in customer service to resolve this?

Thank you, @user_488c5a I'm sorry that you have not been able to get in contact with our customer service team, the number you are calling is correct which you would need to speak with and if needed that representative would need to transfer you to our Customer Security Assurance team.-Richard

With all due respect, I am not sure how you expect me to speak with a representative?  Its an automated system.  I asked for a representative 4 times, and it would not transfer me, and only offered me the option to chat.  This forum is absolutely filled with comments from customers discussing the absolute refusal to allow customers to speak with a representative, so its clear that it is a known problem.  Once I have called the number, what precisely do I do to speak to the representative as you suggest?