Can you build Seraph's Embrace and Muramana?

So I played corki for the first time and I felt very mana hungry, that may have been becuase I was spamming q's and rockets more than autoing but that made me think of a corki build. Corki's rockets are meant to be spammed so unlimited mana would work perfectly with him, also corki is one of the best ad and AP champions in the game so he benefits from the boosted ad/AP with all that mana. My question is does the unique passive rule on items not let you build them together or is this build idea viable?
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