As a Pokémon expert, I can tell you that Mew, known for its unique genetic makeup, has the ability to learn a wide variety of moves. However, there are some limitations to what Mew can learn. In the main series games of the Pokémon franchise, Mew can learn almost all moves through various means such as leveling up, TMs (Technical Machines), HMs (Hidden Machines), and breeding with other Pokémon that know certain moves.
However, there are a few moves that Mew cannot learn naturally or through any known in-game method. These moves are typically signature moves of other Pokémon, such as "Sky Attack," which is a signature move of Pidgeot. Additionally, there are moves that have been introduced in later generations that Mew would not have access to without the use of special events or future game mechanics.
In summary, while Mew is capable of learning an extensive range of moves, it is not possible for it to learn
every single move in the game due to certain restrictions.
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