Question: Which church is Catholic based, Vasat Atik Ali Pasha Mosque or Cathedral of the Holy Spirit?

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Atik Mustafa Pasha Mosque: Atik Mustafa Pasha Mosque (Turkish: "Atik Mustafa Paşa Camii" ; also named "Hazreti Cabir Camii") is a former Eastern Orthodox church in Istanbul, converted into a mosque by the Ottomans.  The dedication of the church is obscure.  For a long time it has been identified with the church of Saints Peter and Mark, but without any proof.  Now it seems more probable that the church is to be identified with Saint Thekla of the Palace of Blachernae (Greek: Άγία Θέκλα τοῦ Παλατίου τῶν Βλαχερνών , "Hagia Thekla tou Palatiou tōn Vlakhernōn").  The building belongs stylistically to the eleventh-twelfth century.

Vasat Atik Ali Pasha Mosque: Vasat Atik Ali Pasha Mosque (Turkish: "Vasat Atik Ali Paşa Camii" ), also known as Zincirlikuyu Mosque (Turkish: "Zincirlikuyu Camii" ) or Karagümrük Mosque, is an Ottoman mosque located in the Karagümrük neighbourhood of the Fatih district in Istanbul, Turkey, on Fevzipaşa Street.  Sultan Bayezid II's grand vizier Hadım Atik Ali Pasha, after whom the mosque is named, ordered its construction in 1502, and it was completed in 1512, one year after the grand vizier's death.

Ali Pasha Mosque (Sarajevo): Ali Pasha's Mosque or Ali Pasha Mosque was constructed in Sarajevo during 1560–61 as a "vakıf" (legacy or perpetual endowment) of Sofu Hadım Ali Pasha, the Ottoman former governor of the Bosnia Eyalet of the Ottoman Empire, after his death in September 1560.

Atik Ali Pasha Mosque: Atik Ali Pasha Mosque may refer to one of two mosques built in the Fatih district of Istanbul, Turkey by the late 15th- and early 16th-century Ottoman statesman Hadım Atik Ali Pasha:

Gazi Atik Ali Pasha Mosque: The Gazi Atik Ali Pasha Mosque (Turkish: "Gazi Atik Ali Paşa Camii" ) is an old Ottoman mosque located in the Çemberlitaş neighbourhood of the Fatih district in Istanbul, Turkey.  Its construction was started under the orders of the future Grand Vizier Hadım Atik Ali Pasha in 1496 and was completed in 1497, during the reign of Sultan Bayezid II.  The mosque is located near the entrance to the Kapalıçarşı (Grand Bazaar), the Column of Constantine, and the historical Nuruosmaniye Mosque.

Müezzinzade Ali Pasha: Müezzinzade Ali Pasha (Turkish: "Müezzinzade Ali Paşa" ; also known as Sofu Ali Pasha or Sufi Ali Pasha or Meyzinoğlu Ali Pasha; died 7 October 1571) was an Ottoman statesman and naval officer.  He was the Grand Admiral (Kapudan Pasha) in command of the Ottoman fleet at the Battle of Lepanto, where he was killed in action.  He also served as the governor of Egypt from 1563 to 1566.

Hadım Ali Pasha: Hadım Ali Pasha (died July 1511), also known as Atik Ali Pasha, was an Ottoman statesman ("hadım" means "eunuch" in Turkish).  He served as governor of Rumeli, and led the Ottoman army in the Ottoman–Mamluk War of 1485–1491, but was defeated at Adana in 1488.  He was then named Grand Vizier from 1501 to 1503, and again from 1509 to 1511.  During his latter tenure, he led the suppression of the Alevi-led Şahkulu Rebellion, but died in battle near Sivas along with the rebel leader Şahkulu himself.

Trabluslu Ali Pasha: Trabluslu Ali Pasha ("Ali Pasha the Tripolitan"; died February 1804), also known as Cezayirli Ali Pasha ("Ali Pasha the Algerian") or Seydi Ali Pasha, was an Ottoman statesman.  He served as the Ottoman governor of Egypt from July 1803 to February 1804. <ref name="JabartiPhilipp1994-3/394, 423"> </ref>

Cathedral of the Holy Spirit: The Cathedral of the Holy Spirit, alternatively known as the "St. Esprit Cathedral" (Turkish: "Saint Esprit Kilisesi"), located on Cumhuriyet Avenue, 205/B, in the quarter of Pangaltı in Şişli district, the former Harbiye, between Taksim Square and Nişantaşı, is one of the principal Catholic churches in Istanbul, Turkey.

Güzelce Ali Pasha: Güzelce Ali Pasha ("Ali Pasha the Handsome"; died 9 March 1621), also known as Çelebi Ali Pasha or İstanköylü Ali Pasha, was an Ottoman statesman.  He was Kapudan Pasha (grand admiral of the Ottoman Navy) around 1617 and Grand Vizier of the Ottoman Empire from 1619 to 1621.

Supporting paragraphs: Vasat Atik Ali Pasha Mosque Cathedral of the Holy Spirit
Answer: Cathedral of the Holy Spirit