If I am correct the new DLC should not include in the Complete Edition

wich version of complete edition you have bought ?

Yeah the new Version complete edition May 2020 has the new Pack include If you Buy an polder Version the pack is not include because the complete edition is not like a Season Pass

Please remember that I am not working for Funcom. I would only help to find out what happend.
If you want more help or something like that I can only suggest that you DM @Hugo or @Ignasis.

Hello @Nonpare, welcome to the forums, this is intended and not an issue as the previous Complete Edition included all the DLC available at that time.