Question: What did Philip Bertie's father style from 1642 to 1666

Context paragraphs:
Aliqoli Khan: Aliqoli Khan (d. 1667) was a Safavid official and high-ranking military commander of Georgian origin, who served during the reign of three consecutive Safavid kings ("shahs"); Safi (r. 1629-1642), Abbas II (r. 1642-1666) and Suleiman I (r. 1666-1694)

Abbas II of Persia: Shah Abbas II (Persian: شاه عباس دوم‎ , "Shāh Abbās " ‎ ) (30 August 1632 – 26 October 1666), was the seventh Safavid king (shah) of Iran, ruling from 1642 to 1666.  Born Soltan Mohammad Mirza, he was the eldest son of Safi I with his Circassian wife, Anna Khanum.

Philip Bertie: Philip Bertie (c.1665 – 15 April 1728) was an English courtier and politician, the third son of Robert Bertie, 3rd Earl of Lindsey.

Robert Bertie, 3rd Earl of Lindsey: Robert Bertie, 3rd Earl of Lindsey PC FRS (8 November 1630 – 8 May 1701), styled Lord Willoughby de Eresby from 1642 to 1666, was an English nobleman.

Bertie's Brainstorm: Bertie's Brainstorm is a 1911 American silent short drama film produced by the Thanhouser Company.  The film focuses on Bertie Fawcett, a dim-witted fop, who erroneously believes to have won the heart of May Vernon.  In reality, May loves Jack and the two are set to be married, but May's father wishes he would prove his worth by earning his own living.  Bertie chances upon the letter and sets off to make a living proceeds through a number of jobs with hope to claim May as his bride.  The film ends with Bertie returning and finding out that May has married Jack.  Little is known about the production of the film save that William Russell played an unknown role and that the scenario was written by Lloyd F. Lonergan.  The foppish character of Bertie may have been inspired by Edwin Thanhouser's role as Bertie Nizril in "Thoroughbred".  Originally conceived as a series, this ultimately singular work received praise from critics.  The film is presumed lost.

Hannibal Sehested (governor): Hannibal Sehested (1609 – 23 September 1666) was a Dano-Norwegian statesman and son-in-law of King Christian IV.  He served as Governor-general of Norway from 1642 to 1651, where he fought the Torstenson War against Sweden and implemented many reforms.  After a fall from grace leading to his resignation as Governor-general in 1651, he regained the trust of Frederick III in 1660 and negotiated the Treaty of Copenhagen.  He worked as lord treasurer and councillor of state until his death in 1666.

Jafarqoli Khan: Jafarqoli Khan, also known as Jafarqoli Beg, was a Safavid official of Georgian origin who served as the governor ("beglarbeg") of Astarabad in 1664 or 1666, during the reign of king Abbas II (1642-1666).  A scion of the Undiladze clan, Jafarqoli Khan was a grandson of the celebrated Safavid military and political leader Imam-Quli Khan, a son by one of his daughters and her husband Dāvūd (sometime governor of Dashtestan).  Though the Undiladze family had almost been annihilated in its entirety in the early years of king Safi's reign (1629-1642), the succession of the family amongst the Safavid court elites was assured by Jafarqoli.

Philip Bertie Petrides: Sir Philip Bertie Petrides was a British colonial judge and administrator.

Mirza Mohammad Karaki: Mirza Mohammad Mahdi Karaki (Persian: میرزا محمد مهدی کرکی‎ ‎ ) was an Iranian cleric and statesman, who served as the grand Vizier of the Safavid king ("shah") Abbas II (r. 1642-1666), and the latters son and successor Suleiman I (r. 1666–1694).  He was the son of Mirza Habibollah Karaki, who served as the "sadr-i mamalik" (minister of religion) from 1632/3 till his death 1650.

Montagu Bertie, 2nd Earl of Lindsey: Montagu Bertie, 2nd Earl of Lindsey, KG, PC (1608 – 25 July 1666) was an English soldier, courtier, and politician who sat in the House of Commons between 1624 and 1626.  He was created Baron Willoughby de Eresby by writ of acceleration in 1640 and inherited the peerage of Earl of Lindsey in 1642.  He fought in the Royalist army in the English Civil War.

Supporting paragraphs: Philip Bertie Robert Bertie, 3rd Earl of Lindsey
Answer: Lord Willoughby de Eresby