That schoolhouse over there with あれ

Grammar Explanation

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Chiya takes Cocoa to see where her new school is located. Coca is filled with excitement to see it.

あれ(わたし)(あたら)しい (まな)()かぁ」
“So that over there is my new schoolhouse.”

あれ is used because the referenced object (the school house) is not near the speaker (Cocoa), and because there is no listener (due to this dialogue internal monologue).