How can I add an attribute to a SAML 2.0 response?

Question

I am trying to implement SSO with a relying party while using Azure AD as the IdP and they require the email address to come from one of the following attributes below in the SAML response.  But I can't for the life of my find out where I can configure
the response in the Azure management console and my search-fu has so far turned up nil.
name="email"
name="http://schemas.xmlsoap.org/ws/2005/05/identity/claims/emailaddress"
name="emailAddress",nameFormat="urn:oasis:names:tc:SAML:2.0:attrname-format:basic"
name="emailaddress",nameFormat="urn:oasis:names:tc:SAML:2.0:attrname-format:basic"
name="Email",nameFormat="urn:oasis:names:tc:SAML:2.0:attrname-format:basic"
name="saml_username",nameFormat="urn:oasis:names:tc:SAML:2.0:attrname-format:basic"
name="emailAddress",nameFormat="urn:oasis:names:tc:SAML:2.0:attrname-format:unspecified"
name="emailaddress",nameFormat="urn:oasis:names:tc:SAML:2.0:attrname-format:unspecified"
name="emailaddress",nameFormat="http://schemas.xmlsoap.org/ws/2005/05/identity/claims/emailaddress"
name="urn:oid:0.9.2342.19200300.100.1.3",nameFormat="urn:oasis:names:tc:SAML:2.0:attrname-format:uri"
name="mail",nameFormat="urn:oasis:names:tc:SAML:2.0:attrname-format:basic"
        <AttributeStatement>
            <Attribute Name="http://schemas.microsoft.com/identity/claims/tenantid">
                <AttributeValue>[MYGUID]</AttributeValue>
            </Attribute>
<!-- I want an email attribute here -->
            <Attribute Name="http://schemas.microsoft.com/identity/claims/objectidentifier">
                <AttributeValue>[MYOID]</AttributeValue>
            </Attribute>
            <Attribute Name="http://schemas.xmlsoap.org/ws/2005/05/identity/claims/name">
                <AttributeValue>[email protected]</AttributeValue>
            </Attribute>
            <Attribute Name="http://schemas.xmlsoap.org/ws/2005/05/identity/claims/surname">
                <AttributeValue>Tindall</AttributeValue>
            </Attribute>
            <Attribute Name="http://schemas.xmlsoap.org/ws/2005/05/identity/claims/givenname">
                <AttributeValue>Jeff</AttributeValue>
            </Attribute>
            <Attribute Name="http://schemas.microsoft.com/identity/claims/displayname">
                <AttributeValue>Jeff Tindall</AttributeValue>
            </Attribute>
            <Attribute Name="http://schemas.microsoft.com/identity/claims/identityprovider">
                <AttributeValue>https://sts.windows.net/[MYGUID]/</AttributeValue>
            </Attribute>
        </AttributeStatement>
        <AuthnStatement AuthnInstant="2015-02-20T19:51:12.000Z" SessionIndex="_1eb9dd08-0bb7-48b0-b37c-64eb64d9a5f2">
            <AuthnContext>
                <AuthnContextClassRef>urn:oasis:names:tc:SAML:2.0:ac:classes:Password</AuthnContextClassRef>
            </AuthnContext>
        </AuthnStatement>
    </Assertion>
</samlp:Response>
Thanks in advance.
Jeff

Answer 1

When I did not get a response here, I had to open a ticket with support.  The short answer is that you cannot customize the SAML response when using Azure AD as an IdP.
Response from support:
I discussed the issue with senior engineers to get action plan for this issue. After doing research Senior engineers updated me that we cannot add a custom attribute to the default
SAML response of Azure AD.
Below is the link to get the list of available attributes
https://msdn.microsoft.com/en-us/library/azure/dn195587.aspx
As default SAML response from Azure AD , we have email address of the user sent out as attribute value for the Attribute " NAME ".
They suggested me to configure the application we are trying to integrate with Azure AD in such a way that it transforms the Attribute  " NAME " into " EMAIL
This was not particularly helpful in my case as I did not have any control over the 3rd party which specifically documented that they would not extract the email address from the name attribute.
Cheers,
Jeff