Here's why:
* The Mystic Ticket is a specific item from Pokémon Colosseum and XD: Gale of Darkness. These are GameCube games, and FireRed is a Game Boy Advance game.
* The Mystic Ticket is used to access the "Mystery Dungeon" in those GameCube games. It is not an item in FireRed.
To access the "Mystery Dungeon" in Pokémon Colosseum or XD: Gale of Darkness, you need to use a Game Boy Advance game cartridge that has a "Mystery Dungeon" event flag set. This event flag is usually set after completing specific events in certain Game Boy Advance games, like Pokémon Ruby, Sapphire, or Emerald.
You can't transfer items or events between Game Boy Advance and GameCube games directly. You'd need a special adapter that's compatible with both systems to connect them and potentially transfer data. However, the Mystic Ticket's functionality is specific to Colosseum and XD: Gale of Darkness, and it wouldn't work in FireRed even if you could transfer it.
If you're looking for a similar experience in FireRed, you might want to explore:
* The "Secret Base" feature: You can create and customize your own secret bases in FireRed.
* The "Pokémon Ranger" games: These Game Boy Advance games also have exploration and dungeon-like aspects, but they are separate games from FireRed.