Organization groups and projects GraphQL query not respecting `first` and `last` arguments

Summary

We use the groups and projects GraphQL queries on the organization front page (https://gitlab.com/-/organizations/default) and Groups and projects page. On gitlab.com it appears that the first and last arguments aren't being respected correctly. On the front page we have first set to 5 to return only 5 groups and projects but it is returning less than 5

Steps to reproduce

Groups

1. Go to https://gitlab.com/-/graphql-explorer
2. Enter the following for the query

query getOrganizationGroups($id: OrganizationsOrganizationID!, $search: String, $sort: String, $first: Int, $last: Int, $before: String, $after: String) {
  organization(id: $id) {
    id
    groups(
      first: $first
      search: $search
      sort: $sort
      last: $last
      before: $before
      after: $after
    ) {
      nodes {
        id
        fullName
      }
      pageInfo {
        hasNextPage
        hasPreviousPage
        startCursor
        endCursor
      }
    }
  }
}

3. Enter the following for the query variables

{
    "id": "gid://gitlab/Organizations::Organization/1",
    "search": "",
    "sort": "updated_at_desc",
    "first": 5,
    "after": null,
    "last": null,
    "before": null
}

4. Run the query and it only returns 2 groups

Projects

1. Go to https://gitlab.com/-/graphql-explorer
2. Enter the following for the query

query getOrganizationProjects($id: OrganizationsOrganizationID!, $search: String, $sort: String, $first: Int, $last: Int, $before: String, $after: String) {
  organization(id: $id) {
    id
    projects(
      search: $search
      sort: $sort
      first: $first
      last: $last
      before: $before
      after: $after
    ) {
      nodes {
        id
        nameWithNamespace
      }
      pageInfo {
        hasNextPage
        hasPreviousPage
        startCursor
        endCursor
      }
    }
  }
}

3. Enter the following for the query variables

{
    "id": "gid://gitlab/Organizations::Organization/1",
    "search": "",
    "sort": "updated_at_desc",
    "first": 5,
    "after": null,
    "last": null,
    "before": null
}

4. Run the query and it only returns 4 projects (sometimes it returns 5 🤷)

What is the current bug behavior?

Organization groups and projects GraphQL queries do not respect first and last arguments

What is the expected correct behavior?

Organization groups and projects GraphQL queries should respect first and last arguments

Relevant logs and/or screenshots

Groups

Should show 5 groups

Projects

Should show 5 projects

Output of checks

I am only seeing this bug on gitlab.com, not locally

Possible fixes

If the user is not logged in through SAML, the groups requiring SAML login are being filtered out. We need to fix this by filtering out the SAML groups if the user is not logged in with SAML before applying the limit.