How do Gossip Stones work in the Ocarina of Time Remake?

Gossip Stones in Ocarina of Time look interactive, but their main function only becomes available after Link obtains the Mask of Truth. Wearing the mask and speaking to a stone reveals a clue or advice connected to the area, which can help with puzzles or finding secrets.

The Mask of Truth is earned by completing the Happy Mask Shop side quest, which begins in Hyrule Castle Town while Link is a child. The stones also have two other functions that do not require the mask, though the article text does not describe what they are.