Question: For which French king did Nicolas Bergier serve as an advisor in the 17th century?

full_context: Document 1: Liber Censuum: The Liber Censuum Romanæ Ecclesiæ (Latin for "Census Book of the Roman Church"; also referred to as the Codex of Cencius) is an eighteen-volume (originally) financial record of the real estate revenues of the papacy from 492 to 1192. The span of the record includes the creation of the Apostolic Camera and the effects of the Gregorian Reform. The work constitutes the "latest and most authoritative of a series of attempts, starting in the eleventh century, to keep an accurate record of the financial claims of the Roman church". According to historian J. Rousset de Pina, the book was "the most effective instrument and [...] the most significant document of ecclesiastical centralization" in the central Middle Ages.
Document 2: Louis XV of France: Louis XV (15 February 1710 – 10 May 1774), known as Louis the Beloved ("Louis le bien aimé"), was a monarch of the House of Bourbon who ruled as King of France from 1 September 1715 until his death. He succeeded his great-grandfather Louis XIV at the age of five. Until he reached maturity in 1723, his kingdom was ruled by Philippe II, Duke of Orléans, as Regent of France; the duke was his great-uncle, as well as first cousin twice removed patrilineally. Cardinal Fleury was his chief minister from 1726 until the Cardinal's death in 1743, at which time the young king took sole control of the kingdom.
Document 3: Via Militaris: Via Militaris or Via Diagonalis was an ancient Roman road, starting from Singidunum (today the Serbian capital Belgrade), passing by Danube coast to Viminacium (mod. Požarevac), through Naissus (mod. Niš), Serdica (mod. Sofia), Philippopolis (mod. Plovdiv), Adrianopolis (mod. Edirne in Turkish Thrace), and reaching Constantinople (mod. Istanbul). This road was connected with Via Egnatia by other roads - the road along river Axios (or Vardar), the Serdica–Thessalonica road along river Strymon (or Struma), and the road Philippopolis–Philippi.
Document 4: Henry IV of France: Henry IV (French: "Henri IV" , read as "Henri-Quatre" ] ; 13 December 1553 – 14 May 1610), also known by the epithet "Good King Henry", was King of Navarre (as Henry III) from 1572 to 1610 and King of France from 1589 to 1610. He was the first French monarch of the House of Bourbon, a branch of the Capetian dynasty.
Document 5: Charles VIII of France: Charles VIII, called the Affable, French: "l'Affable" (30 June 1470 – 7 April 1498), was a monarch of the House of Valois who ruled as King of France from 1483 to his death in 1498. He succeeded his father Louis XI at the age of 13. His elder sister Anne of France acted as regent jointly with her husband Peter II, Duke of Bourbon until 1491 when the young king turned 21 years of age. During Anne's regency, the great lords rebelled against royal centralisation efforts in a conflict known as the Mad War (1485-1488), which resulted in a victory for the royal government.
Document 6: Tacitus: Publius (or Gaius) Cornelius Tacitus ( ; ] ;  56 AD –  120 AD ) was a senator and a historian of the Roman Empire. The surviving portions of his two major works—the "Annals" and the "Histories"—examine the reigns of the Roman emperors Tiberius, Claudius, Nero, and those who reigned in the Year of the Four Emperors (69 AD). These two works span the history of the Roman Empire from the death of Augustus, in 14 AD, to the years of the First Jewish–Roman War, in 70 AD. There are substantial lacunae in the surviving texts, including a gap in the "Annals" that is four books long.
Document 7: Watling Street (book): Watling Street: Travels Through Britain and Its Ever-Present Past is the fifth book by the British journalist, novelist and cultural historian John Higgs. The book charts Higgs's journey along Watling Street, one of the oldest roads in Britain, from Dover to Anglesey, during which journey he records the so-called hidden history of this ancient path from its first creation up to the present day. As well as recording the historical figures and their stories surrounding the road, Higgs also meets up with and interviews contemporary figures along the way such as Alan Moore. The author describes the history of the road as, "Watling Street is a road of witches and ghosts, of queens and highwaymen, of history and myth, of Chaucer, Dickens and James Bond. Along this route Boudicca met her end, the battle of Bosworth changed royal history, Bletchley Park code breakers cracked Nazi transmissions and Capability Brown remodelled the English landscape.
Document 8: Maison militaire du roi de France: The maison militaire du roi de France, in English the military household of the king of France, was the military part of the French royal household or "Maison du Roi" under the Ancien Régime. The term only appeared in 1671, though such a gathering of units pre-dates this. Like the rest of the royal household, the military household was under the authority of the Secretary of State for the Maison du Roi, but it depended on the "ordinaire des guerres" (controlled by the Secretary of State for War) for its budget. Under Louis XIV, these two officers of state were given joint command of the military household.
Document 9: Louis XIV of France: Louis XIV (5 September 16381 September 1715), known as Louis the Great ("Louis le Grand ") or the Sun King ("le Roi Soleil "), was a monarch of the House of Bourbon who reigned as King of France from 1643 until his death in 1715. His reign of 72 years and 110 days is the longest recorded of any monarch of a sovereign country in European history. In the age of absolutism in Europe, Louis XIV's France was a leader in the growing centralization of power.
Document 10: Philippe I, Duke of Orléans: Philippe I, Duke of Orléans (21 September 1640 – 9 June 1701) was the younger son of Louis XIII of France and his wife, Anne of Austria. His older brother was Louis XIV, "le Roi Soleil". Styled Duke of Anjou from birth, Philippe became Duke of Orléans upon the death of his uncle Gaston in 1660. In 1661, Philippe also received the dukedoms of Valois and Chartres. Following Philippe's victory in battle in 1671, Louis XIV added the dukedom of Nemours, the marquisates of Coucy and Folembray, and the countships of Dourdan and Romorantin. During the reign of his brother he was known simply as "Monsieur", the traditional style at the court of France for the younger brother of the king.
Document 11: Nicolas Bergier: Nicolas Bergier (] ), Avocat au Siège Présidial de Rheims, lived in 17th-century Rheims and became interested in Roman roads there. Mentioning by chance his interest in the funding of Roman roads to Conde du Lis, advisor to Louis XIII, he found himself suddenly commanded by the king to undertake a study of all Roman roads. Five years later he published his "Histoire des Grands Chemins de l'Empire Romain", a two-volume work of over 1000 pages. There were many subsequent editions. This first scholarly study of Roman roads included engravings of the Tabula Peutingeriana. Edward Gibbon consulted Bergier's work while researching his "Decline and Fall of the Roman Empire".
Document 12: Louis XIII of France: Louis XIII (] ; 27 September 1601 – 14 May 1643) was a monarch of the House of Bourbon who ruled as King of France from 1610 to 1643 and King of Navarre (as Louis II) from 1610 to 1620, when the crown of Navarre was merged with the French crown.
Document 13: Louis Joseph, Prince of Condé: Louis Joseph de Bourbon (9 August 1736 – 13 May 1818) was Prince of Condé from 1740 to his death. A member of the House of Bourbon, he held the prestigious rank of "Prince du Sang".
Document 14: Edward Gibbon: Edward Gibbon FRS ( ; 8 May 173716 January 1794) was an English historian, writer and Member of Parliament. His most important work, "The History of the Decline and Fall of the Roman Empire", was published in six volumes between 1776 and 1788 and is known for the quality and irony of its prose, its use of primary sources, and its open criticism of organised religion.
Document 15: Jean Lévesque de Burigny: Jean Lévesque de Burigny (1692 in Reims, France – 1785 in Paris) was a historian, who in 1713, with his brothers, Champeaux and Lévesque de Pouilly, he began to compile a dictionary of universal knowledge, similar to an encyclopedia, which comprised twelve large manuscript folios, and afforded Burigny ample material for his subsequent works. In 1718, at The Hague, he worked with Saint-Hyacinthe on "L'Europe savante", in twelve volumes, of which he contributed at least one-half. On his return to Paris, he devoted his time to historical research and published several works which stamped him as a conscientious scholar. Burigny, although sharing the ideas of the philosophers of his time, was by no means an extremist. He was a modest, peace-loving man, whose only ambition was to be a scholar, and his works show a great amount of learning; some, for instance his lives of Grotius and Erasmus, give very interesting data not elsewhere found. Among his works are: "Traité de l'autorité du pape" (Paris, 1782) which reduces papal authority to a primacy of honour, "Théologie païenne" (Paris, 1754); "Histoire générale de Sicile" (The Hague, 1745); "Histoire des révolutions de l'empire de Constantinople" (The Hague, 1750); "Traité de Porphyre touchant l'abstinence de la chair, avec la vie de Plotin" (tr. from Greek; Paris, 1740); "Vie de Bossuet" (Paris, 1761); "Vie du cardinal Duperron" (Paris, 1768).
ground_truth: Louis XIII