So time for an update, been a while. Got the vase glued, the seam isn't the most prettiest but good enough for me. With more post-prosessing it could be made nicer looking.
Before gluing I filed the ends so they were flat. I used a Loctite superglue which doesn't allow very much time to work with positioning so I glued only one part at first and just went around the model as the previous parts were dried enough.

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