Podcast help

They need to give you either an link to their iTunes Store page, if they have one, or a link to their RSS feed. This is often identified by this icon:

With the latter you can subscribe in iTunes or Apple Podcasts directly. There is an entry method in each to do this though I don't have access to iTunes and I don't remember how this is done In Apple Podcasts on Catalina it's File>Add a show by URL. If you can't find the equivalent in iTunes ask in the forum for that (also a good place to ask if you have any other queries: this forum is really meant for people who make their own podcasts).

The second URL does not work. The first leads (eventually) to

https://podcasts.apple.com/us/podcast/treasures-of-the-chny-archive/id1530218911?uo=4

Thate preview page contains a link to iTunes/Apple Podcasts from where you can subscribe. Or you can subscribe manually in either using

https://anchor.fm/s/33823718/podcast/rss

I don't know what you mean by 'entity'. If you have a link to iTunes from the creator of the podcast, that will lead you to a web preview, which has a link to iTunes/Apple Podcasts.

Otherwise you can search in iTunes by the name of the podcast.

If you like to post the URL of the website you are talking about I can take a look, though obviously I can't promise to come up with anything.

I just worked though the site until I found a link.