Question: Which musician was a co-frontman with Pete Doherty, Dave Mustaine or Carl Barât (please answer with full name)?

Context paragraphs:
Carl Barât (album): Carl Barât is the debut solo album by Libertines co-frontman Carl Barât.  It was released on 4 October 2010 in the UK.  The album was mastered in New York City and was the first album released through his own self-funded record label Arcady, but distributed through PIAS Recordings.  The first single to be released from the album was "Run with the Boys".

City (Client album): City is the second studio album by English electronic music group Client, released on 27 September 2004 by Toast Hawaii.  The album features guest appearances by Carl Barât and Pete Doherty of The Libertines, as well as Martin L. Gore of Depeche Mode.

Anthony Rossomando: Anthony Rossomando is an American writer-producer, composer, and guitarist.  He along with Carl Barât was a founding member of Dirty Pretty Things.  He previously stood in for Pete Doherty in The Libertines as a touring member.  He has also been a live member of British New Rave band Klaxons.  He was also a member of Boston-based band The Damn Personals.  He also has co-written songs with D'angelo, Mark Ronson and Andrew Wyatt, Cathy Dennis.  Anthony Rossomando's songs are represented by Downtown Music Publishing.

Carl Barât: Carlos Ashley Raphael Barât (born 6 June 1978) is a British musician, best known for being the co-frontman with Peter Doherty of the garage rock band The Libertines.  He was the frontman and lead guitarist of Dirty Pretty Things, and in 2010 debuted a solo album.  In 2014 he announced the creation of his new band, The Jackals.

The Libertines discography: The discography of the Libertines, a London-based indie rock band, consists of three studio albums, four extended plays (EPs), one compilation album, six singles and six music videos.  Formed in 1997, the Libertines consisted of Pete Doherty (vocals/rhythm guitar), Carl Barât (vocals/lead guitar), John Hassall (bass) and Gary Powell (drums).

The Libertines: The Libertines are an English rock band, formed in London in 1997 by frontmen Carl Barât (vocals/guitar) and Pete Doherty (vocals/guitar).  The band, centred on the songwriting partnership of Barât and Doherty, has also included John Hassall (bass) and Gary Powell (drums) for most of its recording career.  The band was part of the garage rock revival and spearheaded the movement in the UK.

Dave Mustaine: David Scott Mustaine (born September 13, 1961) is an American musician, singer, songwriter, actor and author.  He is best known as the co-founder, guitarist, lead singer, and primary songwriter of the American thrash metal band Megadeth, and the original lead guitarist of the American thrash metal band Metallica.

The Libertines (album): The Libertines is the second album by English indie rock band The Libertines.  Released on 30 August 2004, it is particularly biographical of the relationship between frontmen Carl Barât and Pete Doherty.  The album debuted at number one on the UK Albums Chart, selling 72,189 copies in its first week of release.

Dirty Pretty Things (band): Dirty Pretty Things were an English band fronted by Carl Barât, a member of The Libertines.  The formation of the band was announced in September 2005, after a dispute between Barât and Pete Doherty led to the breakup of The Libertines in 2004.  Barât had worked with Vertigo Records and had previously revealed that his new project was with the label.  Didz Hammond announced he was leaving the Cooper Temple Clause to join the band alongside Libertines drummer Gary Powell and guitarist Anthony Rossomando, who had filled in for Doherty following his departure from The Libertines.  They played their first shows in October 2005 in Italy and Paris, France.  They announced their split on 1 October 2008 and played their final shows during November.

Pete Doherty: Peter Doherty (born 12 March 1979) is an English musician, songwriter, actor, poet, writer, and artist.  He is best known for being co-frontman of the Libertines, which he formed with Carl Barât in 1997.  His other musical projects are indie band Babyshambles and Peter Doherty and the Puta Madres.

Supporting paragraphs: Dave Mustaine Carl Barât
Answer: Carlos Ashley Raphael Barât