Address the review comments

Author: JohnTitor

src/doc/src/reference/publishing.md

@@ -195,8 +195,7 @@ is likely for you to encounter the following message when working with them:
 
 > It looks like you don’t have permission to query a necessary property from
 GitHub to complete this request. You may need to re-authenticate on [crates.io]
-to grant permission to read GitHub org memberships. Just go to
-<https://crates.io/login>.
+to grant permission to read GitHub org memberships.
 
 This is basically a catch-all for “you tried to query a team, and one of the
 five levels of membership access control denied this”. That is not an
@@ -215,8 +214,9 @@ you will get the error above. You may also see this error if you ever try to
 publish a crate that you don’t own at all, but otherwise happens to have a team.
 
 If you ever change your mind, or just aren’t sure if [crates.io] has sufficient
-permission, you can always go to <https://crates.io/login>, which will prompt you
-for permission if [crates.io] doesn’t have all the scopes it would like to.
+permission, you can always go to <https://crates.io/> and re-authenticate,
+which will prompt you for permission if [crates.io] doesn’t have all the scopes
+it would like to.
 
 An additional barrier to querying GitHub is that the organization may be
 actively denying third party access. To check this, you can go to:
@@ -240,20 +240,21 @@ the “Grant Access” button next to its name:
 
 ![Authentication Access Control](../images/auth-level-acl.png)
 
-#### could not find the github team
+#### Troubleshooting GitHub team access errors
 
-Or, when trying to add a GitHub team as crate owner, you may see an error like:
+When trying to add a GitHub team as crate owner, you may see an error like:
 
 ```text
 error: failed to invite owners to crate <crate_name>: api errors (status 200 OK): could not find the github team org/repo
 ```
 In that case, you should go to [the GitHub Application settings page] and
 check if crates.io is listed in the `Authorized OAuth Apps` tab.
-If it isn't, you should go to <https://crates.io/login> and authorize it.
-Then go to the crates.io app page, make sure you or your organization
-is granted the access (you should see a green checkmark next to the org name).
-If there's a button labeled `Grant` or `Request`, you should grant the access
-or request the org owner to do so.
+If it isn't, you should go to <https://crates.io/> and authorize it.
+Then go back to the Application Settings page on GitHub, click on the
+crates.io application in the list, and make sure you or your organization is
+listed in the "Organization access" list with a green check mark. If there's
+a button labeled `Grant` or `Request`, you should grant the access or
+request the org owner to do so.
 
 [RFC 1105]: https://github.com/rust-lang/rfcs/blob/master/text/1105-api-evolution.md
 [Rust API Guidelines]: https://rust-lang.github.io/api-guidelines/