The web_search tool and MCP discovery is essentially a global directory.
Now when I ask ChatGPT for a product, it does a web_search tool call and then gives me a link to a webshop product page. But next step would be automatically using the MCP of that webshop to embed checkout inside chat.
afaik Claude already has a "discovery" tool for official Claude connectors, that's why a lot of companies are rushing to get on the marketplaces. I know that bc I'm the founder of https://manufact.com and we helped a ton of companies with that.