Question: Mark Antony and Cleopatra and the Sergii family brothers participated in what battle?

Context paragraphs:
Donations of Alexandria: The Donations of Alexandria (Autumn 34 BC) were a political act by Cleopatra VII and Mark Antony in which they distributed lands held by Rome and Parthia amongst Cleopatra's children, and granted them many titles, especially for Caesarion, son of Julius Caesar.  These were the second of two such donations; a similar donations ceremony was held 2 years earlier in Antioch in 36 BC, at which time the donations enjoyed Octavian's full approval of the Antonian strategy to rule the East making use of Cleopatra's unique royal Seleucid lineage in the regions donated.  Ultimately, the Donations (of 34 BC) caused a fatal breach in Antony's relations with Rome and were amongst the causes of the Final War of the Roman Republic.

Caesareum of Alexandria: The Caesareum of Alexandria is an ancient temple in Alexandria, Egypt.  It was conceived by Cleopatra VII of the Ptolemaic kingdom, the last pharaoh of Ancient Egypt, to honour her dead lover Marc Antony.  The edifice was finished by the Roman Emperor Augustus, after he defeated Mark Antony and Cleopatra.  He destroyed all traces of Antony in Alexandria, and apparently dedicated the temple to his own cult.

Iullus Antonius: Iullus Antonius (45 BC – 2 BC), also known as Iulus, Julus or Jullus, was a personage in Ancient Rome.  He was the second son of Roman general Mark Antony and Antony's third wife Fulvia.  He is best known for being the famous lover of Julia the Elder.  He was the full brother of Marcus Antonius Antyllus, half-brother of Clodia Pulchra (the first wife of Augustus) through his mother's first marriage, half-brother of Antonia Major and Antonia Minor through his father's marriage to Octavia Minor, and half-brother of Alexander Helios, Cleopatra Selene II and Ptolemy Philadelphus through his father's marriage to Cleopatra VII.  His stepsiblings were Marcellus, Claudia Marcella Major (later his wife), Caesarion and Claudia Marcella Minor.  He was also stepson to Octavia Minor (sister of Augustus) and Cleopatra VII.

Death of Cleopatra: The death of Cleopatra, the last reigning ruler of Ptolemaic Egypt, occurred on August 12, 30 BC in Alexandria, when she was 39 years old.  According to a popular belief, introduced by Plutarch, Cleopatra committed suicide by an asp bite.  In other versions Cleopatra either poisoned herself by a toxic ointment or was murdered.  The exact date of Cleopatra's death was unknown for a long time, since there is no surviving record of even the approximate date.  Theodore Cressy Skeat deduced that her death occurred on August 12, 30 BC on the basis of contemporary records of fixed events.  Cleopatra's death effectively ended the war between Octavian and Mark Antony, where Cleopatra aligned herself with Antony.

Cleopatra Selene II: Cleopatra Selene II (Greek: Κλεοπάτρα Σελήνη; late 40 BC – c. 6 BC), also known as Cleopatra VIII of Egypt or Cleopatra VIII, was a Ptolemaic Princess and was the only daughter to Greek Ptolemaic queen Cleopatra VII of Egypt and Roman triumvir Mark Antony.  She was the fraternal twin of Ptolemaic prince Alexander Helios.  Her second name in ancient and modern Greek means moon, also meaning the Titaness-Goddess of the Moon Selene, being the counterpart of her twin brother‘s second name Helios, meaning sun and the Titan-God of the Sun Helios.  She was of Greek and Roman heritage.  Cleopatra was born, raised and educated in Alexandria, Egypt.  In 36 BC in the Donations of Antioch and in late 34 BC during the Donations of Alexandria, she was made ruler of Cyrenaica and Libya.

Cleopatra (miniseries): Cleopatra is a 1999 miniseries adaptation of Margaret George's 1997 historical fiction novel "The Memoirs of Cleopatra".  Produced by Hallmark Entertainment, it stars Leonor Varela as the Egyptian queen Cleopatra, Timothy Dalton as Julius Caesar, Billy Zane as Mark Antony, Rupert Graves as Octavius, Sean Pertwee as Brutus and Bruce Payne as Cassius.  "Cleopatra" was shown first on the ABC television network in two parts on two consecutive evenings in May 1999 and then released on videotape and DVD.

Final War of the Roman Republic: The Final War of the Roman Republic, also known as Antony's Civil War or The War between Antony and Octavian, was the last of the Roman civil wars of the republic, fought between Mark Antony (assisted by Cleopatra) and Octavian.  After the Roman Senate declared war on the Egyptian queen Cleopatra, Antony, her lover and ally, betrayed the Roman government and joined the war on Cleopatra’s side.  After the decisive victory for Octavian at the Battle of Actium, Cleopatra and Antony withdrew to Alexandria, where Octavian besieged the city until both Antony and Cleopatra committed suicide.

Arch of the Sergii: Arch of the Sergii is an Ancient Roman triumphal arch located in Pula, Croatia.  The arch commemorates three brothers of the Sergii family, specifically Lucius Sergius Lepidus, a tribune serving in the twenty-ninth legion that participated in the Battle of Actium and disbanded in 27 BC .  This suggests an approximate date of construction: 29-27 BC.  The arch stood behind the original naval gate of the early Roman colony.  The Sergii were a powerful family of officials in the colony and retained their power for centuries.

Cleopatra (1917 film): Cleopatra (1917) was an American silent historical drama film based on H. Rider Haggard's 1889 novel "Cleopatra" and the plays "Cleopatre" by Émile Moreau and Victorien Sardou and "Antony and Cleopatra" by William Shakespeare.  The film starred Theda Bara in the title role, Fritz Leiber, Sr. as Julius Caesar, and Thurston Hall as Mark Antony.  The film is now considered lost, with only fragments surviving.

Battle of Actium: The Battle of Actium was the decisive confrontation of the Final War of the Roman Republic, a naval engagement between Octavian and the combined forces of Mark Antony and Cleopatra on 2 September 31 BC, on the Ionian Sea near the promontory of Actium, in the Roman province of Epirus Vetus in Greece.  Octavian's fleet was commanded by Marcus Vipsanius Agrippa, while Antony's fleet was supported by the power of Queen Cleopatra of Ptolemaic Egypt.

Supporting paragraphs: Arch of the Sergii Battle of Actium
Answer: Battle of Actium