Question: What year was the player born in that signed as a free agent with the San Antonio Spurs after the 2003–04 Seattle SuperSonics season?

Context articles: Twin Towers (San Antonio Spurs)
2003–04 Seattle SuperSonics season
2007–08 Seattle SuperSonics season
Big Three (San Antonio Spurs)
2004–05 San Antonio Spurs season
1975–76 Seattle SuperSonics season
Brent Barry
List of San Antonio Spurs seasons
List of San Antonio Spurs head coaches
2013–14 San Antonio Spurs season

The Twin Towers is a name applied to the combination of Tim Duncan and David Robinson playing as the frontcourt of the San Antonio Spurs from 1997–2003.
 Both players were selected first overall by the San Antonio Spurs in their draft years with Robinson's selection coming in the 1987 NBA draft and Duncan's selection coming ten years later and both played their entire careers with the San Antonio Spurs.
The 2003–04 NBA season was the SuperSonics' 37th season in the National Basketball Association.
 During the offseason, the Sonics signed free agent Antonio Daniels.
 The Sonics started the season in Tokyo, Japan with a two game series against the Los Angeles Clippers.
 The Sonics got off to a 5–1 start, but played around .500 for the first half of the season.
 Ray Allen played his first full season as a member of the Sonics after being acquired from the Milwaukee Bucks in a trade last February.
 Despite missing the first 25 games due to an ankle injury, he was voted to play in the 2004 NBA All-Star Game.
 This was Allen's fourth overall All-Star Game appearance and his first as a member of the Sonics.
 However, despite a 7-game winning streak in March, the Sonics lost seven of their final ten games ending the season fifth in the Pacific Division with a 37–45 record, missing the playoffs.
 Following the season, Brent Barry signed as a free agent with the San Antonio Spurs.
The 2007–08 Seattle SuperSonics season was the 41st season of the Seattle SuperSonics in the National Basketball Association (NBA) and the franchise's final season of play in Seattle before relocating to Oklahoma City to play as the Thunder.
 With head coach P. J. Carlesimo as replacement of Bob Hill, who was fired at the end of the previous season, the SuperSonics finished in 15th place in the Western Conference with a franchise worst 20–62 record.
 Seattle's first round draft pick and no. 2 overall Kevin Durant was chosen as the Rookie of the Year at the end of the season.
The Big Three were a trio of basketball players for the San Antonio Spurs of the National Basketball Association (NBA) from 2002–2016.
 The Big Three consisted of Tim Duncan, Tony Parker, and Manu Ginóbili.
 Each player of the Big Three was drafted by the San Antonio Spurs and played their entire NBA careers with the San Antonio Spurs.
 The Big Three won four NBA Championships during their time together in San Antonio, in 2003, 2005, 2007, and 2014.
 The trio is widely regarded as the greatest trio of teammates in NBA history, as they have won over 1,000 games together.
The 2004–05 NBA season was the Spurs' 29th season in the National Basketball Association, the 32nd in San Antonio, and 38th season as a franchise.
 During the offseason, the Spurs signed free agent Brent Barry.
 The Spurs got off to a solid start winning 16 of their first 20 games, entering the New Year with a 25–6 record.
 Late in the season, the team signed free agent All-Star forward Glenn Robinson.
 The Spurs finished first place in the Southwest Division, and second in the Western Conference with a 59–23 record.
 Tim Duncan and Manu Ginobili were both voted to play in the 2005 NBA All-Star Game, which was hosted in Denver.
 This was Ginobili's first All-Star appearance.
The 1975–76 Seattle SuperSonics season was the 9th season of the Seattle SuperSonics in the National Basketball Association (NBA).
 The SuperSonics finished the season in second place in the Western Conference with a 43–39 record, the same as the previous year and reached the playoffs for a second consecutive season, where they lost to the Phoenix Suns in the Conference Semifinals in six games.
Brent Robert Barry (born December 31, 1971) is an American retired professional basketball player.
 He is the son of former NBA player Rick Barry.
 The 6 ft , 210 lb shooting guard played professionally in the National Basketball Association, winning two championships with the San Antonio Spurs.
 He also won the 1996 NBA Slam Dunk Contest.
The San Antonio Spurs are a professional basketball team based in San Antonio that competes in the National Basketball Association (NBA).
 They were founded in Dallas, Texas as the Dallas Chaparrals, one of the eleven charter franchises of the American Basketball Association (ABA), in 1967.
 During the 1970–71 season, in an attempt to make the team a regional one, the name "Dallas" was dropped in favor of "Texas" and some home games were played in Fort Worth and Lubbock, but low attendance figures prompted the team to return full-time to Dallas the following season.
 In 1973 the franchise relocated to San Antonio and was renamed the San Antonio Spurs.
 Three years later the Spurs were one of four ABA franchises who joined the NBA as a result of the ABA–NBA merger.
The San Antonio Spurs are an American professional basketball team based in San Antonio, Texas.
 They are a member of the Southwest Division of the Western Conference in the National Basketball Association (NBA).
 The franchise was founded as the Dallas Chaparrals of the American Basketball Association (ABA) in 1967.
 The team suffered from poor attendance and general disinterest by fans in Dallas, and the name "Dallas" was dropped in favor of "Texas" during the 1970–71 season in an attempt to make the team regional.
 This also proved to be a failure, and the team returned full-time to use "Dallas" for the 1971–72 season.
 The team was put up for sale after missing the playoffs in the 1972–73 season.
 The team was acquired by a group of 36 San Antonio businessmen, led by Angelo Drossos and Red McCombs, who relocated the team to San Antonio, Texas and renamed it to Spurs.
 In 1976, the ABA folded, threatening the future of San Antonio's sole professional sports franchise.
 The NBA, however, decided to admit four ABA teams into the league, including the Spurs, along with the Denver Nuggets, the Indiana Pacers and the New York Nets.
The 2013–14 San Antonio Spurs season was the 47th season of the franchise, their 41st in San Antonio and the 38th in the National Basketball Association (NBA).
 They entered the season with an NBA-record ten international players.
 This season also marked the first time that the Spurs have made back-to-back Finals appearances, also against the Miami Heat, whom they lost against in last year's NBA Finals in seven games and suffered their first loss in the NBA Finals.
 Unlike the previous year, the Spurs avenged their NBA Finals loss and became NBA Champions after defeating Miami in five games, winning their fifth NBA Championship.
 The Spurs outscored the Heat in the series by the largest per game average point differential (14.0) in Finals history.
 San Antonio's Kawhi Leonard was named the Finals Most Valuable Player (MVP).