we do not see any “organization admin” functionality and in fact the account type is listed as “Free”

Hi, ​@wadhwamo. Thanks for visiting the Figma forum and making your post.

This sounds like a confusing experience, so let’s see if we can figure out what happened. You mentioned buying through a Vendor - is that somewhere other than Figma directly? Did you sign up at Figma with the same email address you received the invite link?