You will get another the day after and another the day after that one, and so on until you have completed the Pattern. From Bungie.
Yesterday I played the Lair and got a deep site for Appentence. Today played it again and got Opiative which I already have completed. no deep site . Frustrating. What Bungie says will happen with what does happen. I'll try again tomorrow.
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Did you start the activity before or after 10am PST? If you started prior to that time then the instance was likely coded as still being yesterday. (΄◉◞౪◟◉`)