In which city does a special lift connect the lower streets of the Baixa with the higher Largo do Carmo?

Went by the name and building style.

The choices should be Spanish and Portuguese language speaking countries to make it challenging.

Maestro1313, yep, me too.

The lift was designed by Raoul Mesnier du Ponsard, a Portuguese engineer who studied under Gustave Eiffel. Its wrought iron structure and neo-Gothic style are reminiscent of Eiffel's work, particularly the Eiffel Tower.

I've not been to Lisbon

I have been to Lisbon. It’s a beautiful and walkable city.

Sounds interesting. Never heard of this lift.

Been there!!! Lovely city 💕