It does not. Paradox Engine has already been cast and resolved. Its ability, like the majority of abilities1, only has effect while it is on the battlefield which means it cannot see itself being cast and trigger.
- Paradox Engine的觸發器在頂部
1:There are some abilities (such as Dredge, Cycling, or Bloodrush; or Bridge From Below to see a non-keyword graveyard Triggered ability) that require the card being in a specific zone to use, e.g. in your hand or in the grave.