How to link Google Analytics with Search Console or why there is no "Link to Products - Search Console" item?

Question

Google Analytics

There is a Google Analytics account, this account originally contained a resource in which I can add a link to the console. But after adding other resources (sites), when choosing them, I do not see "Link to other products - All products - Search Console". They only have the ability to connect with google ads and bigquery - why is this happening or what am I doing wrong? Maybe for each site it was necessary to create a separate Google Analytics account and add only one resource (site) to each?