Ive just checked the taken king help article and it states this:
"[u]Does Destiny: The Taken King qualify for the Digital Upgrade Program?[/u]
No, Destiny: The Taken King is not part of the Digital Upgrade Program. This offer does still include qualifying Expansion Pass, Expansion I and Expansion II purchases. For more information, please see the Digital Upgrade Program Help article."
Sadly, it won't be cross buy.
https://www.bungie.net/en/Help/Troubleshoot?oid=13343
English
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Ahh nevermind then they changed there mind I guess