Different Dimension Encounter is a Normal Trap Card.
Trap Cards are normally Set first and can be activated on a later turn, often in response to an action.
On the current TCG and OCG Forbidden & Limited lists tracked here, Different Dimension Encounter is Unlimited.
YGOPRODeck lists Different Dimension Encounter for these formats: Duel Links, Common Charity, Speed Duel, TCG, OCG, Master Duel.
A listed print of Different Dimension Encounter appears in Speed Duel GX: Duelists of Shadows (SGX3-ENF18) at Common rarity.
Among markets shown on this page, the lowest listed snapshot for Different Dimension Encounter is about $0.07 on TCGPlayer (prices change frequently).
