Pokémon Scarlet Hardcore Nuzlocke - Psychic Types Only! (No items, No overleveling)

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Can I beat a Pokemon Hardcore Nuzlocke challenge in Scarlet and Violet using only psychic types?
Nuzlocke rules:
Fainted Pokemon must be permanently boxed
Only the first encounter on any given route may be caught (dupes clause)
All pokemon must be nicknamed
Hardcore Rules:
Always Set mode
No items from the bag option in battle (held items are ok)
No overleveling the next gym leader
Custom Rules
No setup moves
No terastalizing
#pokemon #nuzlocke #challenge