If you want to share links to an NY Times article in your online course, use the "Copy Link" function to get a durable link.
The copy link option is found under the "Share" icon (a small arrow) at the top of each article:

Then paste the copied link into your course. Here's the shareable URL from the example above:
https://www.nytimes.com/2021/03/23/climate/ocean-blue-economy-business.html?smid=url-share
Keep in mind that if students have not registered for their SJSU New York Times account, they will only be able to read one article without registering. Encourage your students to activate their SJSU access if you plan to use multiple NYT sources in your class.