Mewtwo is #150, Psychic, on the official legendaries page. The only extra official sentence is a TM example. A bond moveset from a community clip is not an official set.
Record
Role
Legendary
Pokédex number
#150
Types
Psychic
Stats
Unknown
Moveset
Unknown
Official text
The English legendaries page lists #150 Mewtwo as Psychic and Legendary.
News dated 2026-10-21: TMs permanently teach a move outside a Pokémon’s types only if it learns that move in the games. The published example is that Mewtwo can learn Shadow Ball.