How to check if DynDNS is working

How to check if DynDNS is working

Newbie programmer here. I'm building an app for an API that requires an IP
address for authentication. Basically, users have to send the API
management their IPs and then each time a computer makes a request to
their server, it verifies whether it's coming from a registered IP.
Since I work in a number of different places and thus end up with
different IPs, I thought it would be easiest to use DynDNS to establish a
URL that points to whatever my current IP is and then send that URL to the
API management. So my first question is if this approach would in fact
work?
Secondly, assuming this would work, I set up ben.dynalias.com and
downloaded the DynDNS Updater client. It appears to be working: the
updater says status: OK and displays my current IP. However, when I
navigate to the URL (ben.dynalias.com) there's no response. Should this be
the case? How can I tell if it's working?