Question: Which seaport and industrial market town is home to the Ulster Cycle of Irish mythology, Lóegaire Búadach?

Context paragraphs:
Fled Bricrenn: Fled Bricrenn (Old Irish "Bricriu's Feast") is a story from the Ulster Cycle of Irish mythology.  Bricriu, an inveterate troublemaker, invites the nobles of the Ulaid to a feast at his new house at Dún Rudraige (Dundrum, County Down), where he incites three heroes, Cúchulainn, Conall Cernach, and Lóegaire Búadach, to compete for the "champion's portion" of the feast.  The three heroes perform several feats, and travel to Connacht to be judged by Ailill and Medb, and to Munster to be judged by Cú Roí, and on each occasion Cúchulainn is proclaimed champion, but the other two refuse to accept it.  Eventually, back at Emain Macha, the three heroes are each challenged by a giant churl to cut off his head, on the condition that they allow him to cut off their heads in return.  First Lóegaire, then Conall, takes up the challenge and cuts off the churl's head, only for him to pick it up and leave, but when the churl returns the following night they are nowhere to be seen.  Only Cúchulainn lives up to his side of the bargain.  The churl spares his life, reveals himself to be Cú Roí in disguise, and announces that Cúchulainn's bravery and honour make him undisputed champion.

Larne: Larne (from Irish: "Latharna" , the name of a Gaelic territory) is a seaport and industrial market town, as well as a civil parish, on the east coast of County Antrim, Northern Ireland with a population of 18,323 people in the 2008 Estimate.  The Larne Local Government District had a population of 32,180 in 2011.  It has been used as a seaport for over 1,000 years, and is today a major passenger and freight roll-on roll-off port.  Larne is twinned with Clover, South Carolina which has named one of its schools, Larne Elementary School, after Larne.  Larne is administered by Mid and East Antrim Borough Council.  Together with the neighbouring district of Carrickfergus and part of Newtownabbey, it forms the East Antrim constituency for elections to the Westminster Parliament and Northern Ireland Assembly.  The civil parish is situated in the historic barony of Glenarm Upper.

Fenian Cycle: The Fenian Cycle ( ) or the Fiannaíocht (Irish: "an Fhiannaíocht" ), also referred to as the Ossianic Cycle after its narrator Oisín, is a body of prose and verse centring on the exploits of the mythical hero Fionn mac Cumhaill (Old, Middle, Modern Irish: Find, Finn, Fionn) and his warriors the Fianna.  It is one of the four major cycles of Irish mythology along with the Mythological Cycle, the Ulster Cycle, and the Historical Cycle.  Put in chronological order, the Fenian cycle is the third cycle, between the Ulster and Historical cycles.  The cycle also contains stories about other famous Fianna members, including Diarmuid, Caílte, Oisín's son Oscar, and Fionn's enemy, Goll mac Morna.

Celtchar: Celtchar (or Celtchair), son of Uthechar or Uthidir, is a character from the Ulster Cycle of Irish Mythology.  In "Scéla Mucce Maic Dathó" ("The Tale of Mac Dathó's Pig") he is described as "a grey, tall, very terrible hero of Ulster".  When he challenges Cet mac Mágach for the champion's portion, Cet counters that he once emasculated Celtchar with a spear at Celtchar's own house.  He lives in Dún Lethglaise, also known as the Mound of Down (Irish "Dún"), or Rathkeltair (Irish "Ráth Celtchair" or Celtchar's Fort) in Downpatrick, County Down.  His wife is Findmór of Dún Sobairche (Dunseverick, County Antrim).  He wields a spear or lance, the "Lúin Cheltchair", whose lust for blood is so great it has to be dipped in a cauldron of poison to control it.

Lóegaire Búadach: In the Ulster Cycle of Irish mythology, Lóegaire Búadach (Lóegaire the Victorious) is a hapless Ulster warrior who mainly functions as comic relief.  When he, Cúchulainn and Conall Cernach contend for the champion's portion at Briccriu's feast, Lóegaire is always a distant third.  He lived at Inber Seimne (Larne, county Antrim).

Connor (given name): Connor is an Irish male given name, anglicised from the compound Irish word "Conchobhar", meaning "chief who gives aid", its popularity likely derived from the name of Conchobar mac Nessa, a semi-legendary king of Ulster described in the Ulster Cycle of Irish mythology.

Fergus mac Róich: Fergus mac Róich (son of "Ró-ech" or "great horse"; also mac Róig, mac Rossa) is a character of the Ulster Cycle of Irish mythology.  Formerly the king of Ulster, he is tricked out of the kingship and betrayed by Conchobar mac Nessa, and becomes the ally and lover of Conchobar's enemy queen Medb of Connacht, and joins her expedition against Ulster in the "Táin Bó Cúailnge".  The name "Fergus" (later Irish "Fearghus") means "man-strength" or "virility", and Fergus is described as being of enormous size and sexual potency.  This leads him into many a precarious situation as in the story of the Táin Bó Flidhais.

Medb: Medb (pronounced ] )—later spelled Meadhbh (] ) and Méabh (] )—is queen of Connacht in the Ulster Cycle of Irish mythology.  Her husband in the core stories of the cycle is Ailill mac Máta, although she had several husbands before him who were also kings of Connacht.  She rules from Cruachan (now Rathcroghan, County Roscommon).  She is the enemy (and former wife) of Conchobar mac Nessa, king of Ulster, and is best known for starting the "Táin Bó Cúailnge" ("The Cattle Raid of Cooley") to steal Ulster's prize stud bull.  Medb is strong-willed, ambitious, cunning and promiscuous, and is an archetypal warrior queen.  She is believed to be a manifestation of the sovereignty goddess.  Medb of Connacht is probably identical with Medb Lethderg, the sovereignty goddess of Tara, and may also be linked with the Morrígan.

Ulster Cycle: The Ulster Cycle (Irish: "an Rúraíocht" ), formerly known as the Red Branch Cycle, one of the four great cycles of Irish mythology, is a body of medieval Irish heroic legends and sagas of the traditional heroes of the Ulaid in what is now eastern Ulster and northern Leinster, particularly counties Armagh, Down and Louth, and taking place around or before the 1st century AD.

Eochaid Sálbuide: Eochaid Sálbuide (Eochaid Yellow-heel) was king of Ulster prior to the events of the Ulster Cycle of Irish mythology.  His daughter was Ness.  He died at the Battle of Leitir Ruadh, fighting on the side of the High King of Ireland, Fachtna Fáthach, against Eochaid Feidlech, who defeated and deposed him as High King.  He was succeeded as king of Ulster by Fergus mac Róich.

Supporting paragraphs: Lóegaire Búadach Larne
Answer: Larne