Opposition Agent Activates when Searching an Opponent's Library

Tested on Secrets of Strixhaven Stable on Desktop

Certain cards (Acquire, Eternal Dominion, Inevitable Betrayal, even Surgical Extraction) allow the active player to search an opponent's library. When doing this, the active player's Opposition Agent will incorrectly activate, exiling the card to its effect, rather than completing the effect that triggered the search. (Save for Surgical Extraction, which successfully re-exiles the cards after)

This also triggers when an opponent has an Opposition Agent and you search another player's library, despite Opposition Agent keying off opponents searching 'their' libraries.