Why was I given a quest from Chapter 5 during Chapter 1?

After choosing a house (Black Eagles) during my first playthrough of Fire Emblem: Three Houses, I got a strange notification:
A quest has been added from Chapter 5 of the main story on. You will find the quest via the bulletin board. In order to accept it, you must have the ability to invite people to tea parties.
The bulletin board only lists three quests: Fresh Catch, Green Thumb Beginnings, and Share a Bite. None of them are labeled as being from Chapter 5.
Why was I given a quest from Chapter 5 while I’m still in Chapter 1? Is it a quest I can work on early?
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Chapter 5 : Lesson 1 | Direzione Obbligatoria a Destra, Sinistra e Diritto
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