A neighbour to the clock tower, the Konak Camii or Konak Mosque was built in 1756. The Wikipedia has a slightly different date, saying:

"The Mosque was constructed in 1755 under the patronage of Ayşe Hanım, the wife of Katipzade Mehmet Paşa who governed İzmir at the time. The outer tiles were brought from Kütahya. It has a single dome and minaret and unusually for a mosque, only one entrance. The interior is lit by a chandelier by Ümran Baradan"