Question: Since which season has the team, for which Jonas Siegenthaler plays, played in the American Hockey League?

Context paragraphs:
Baltimore Skipjacks: The Baltimore Skipjacks were a minor professional ice hockey team originally beginning play in the Atlantic Coast Hockey League in 1981 and the American Hockey League, the following season of 1982.  They played in Baltimore, Maryland, at the old Baltimore Civic Center (later the Baltimore Arena, then renamed the 1st Mariner Arena, now the Royal Farms Arena in downtown Baltimore's central business district adjacent to the 1950s-'60s-era redevelopment project of Charles Center, on the city block between West Baltimore, South Howard, West Lombard Streets and Hopkins Place/South Sharp and North Liberty Streets.  The Skipjacks team was moved to Portland, Maine in 1993, and became the Portland Pirates.  They also were the successors of the long-time Baltimore professional ice hockey team, the Baltimore Clippers, from 1962 to 1976, who earlier played in the American Hockey League at the same location and shared the same team fight song with minor name revisions.

Jonas Siegenthaler: Jonas Siegenthaler (born 6 May 1997) is a Swiss professional ice hockey defenceman.  He is currently playing with the Hershey Bears of the American Hockey League (AHL) as a prospect of the Washington Capitals of the National Hockey League (NHL).  Siegenthaler was rated as a top prospect, projected as a possible first round selection in the 2015 NHL Entry Draft, before he was selected 57th overall by the Capitals.

Gord McRae: Gordon Alexander McRae (born April 12, 1948 in Sherbrooke, Quebec) is a retired professional hockey goaltender.  He played in 71 regular season and 8 playoff games for the Toronto Maple Leafs of the National Hockey League during the 1970s.  After a three-year college career with the Michigan Tech Huskies, McRae played with Charlotte of the Eastern Hockey League and Providence in the American Hockey League before joining the Tulsa Oilers of the Central Hockey League in 1971.  Signed by Toronto, he first appeared with the Leafs in 11 games during the 1972–73 season.  He spent the next few years bouncing between the NHL club and its minor league affiliates in the CHL.  His best season was 1974–75 when he appeared in 20 games, posting a 10–3–6 record with a 3.29 GAA.  He backstopped the team to a first-round playoff upset over the Los Angeles Kings that season.  McRae final seasons were either as a back-up with the Leafs or in the Central League before retiring after the 1977–78 season.  While with the Dallas Black Hawks of the CHL in 1976–77, he won the Terry Sawchuk trophy and was named to the CHL first All-Star team.

Jonas Johansson (ice hockey, born 1995): Jonas Olov Johansson (born September 19, 1995) is a Swedish professional ice hockey goaltender.  He is currently playing as a prospect with the Rochester Americans of the American Hockey League (AHL) while under contract to the Buffalo Sabres of the National Hockey League (NHL).  Johansson was selected by the Sabres in the third round, 61st overall, at the 2014 National Hockey League (NHL) Entry Draft.  He previously played with Brynäs IF of the Swedish Hockey League (SHL)

Carter Bancks: Carter Bancks (born August 9, 1989) is a Canadian professional ice hockey player who is currently playing with and serving as captain of the Utica Comets of the American Hockey League (AHL).  He played the 2013–14 season under contract to with the Calgary Flames of the National Hockey League (NHL).  An undrafted player, Bancks played four seasons of junior in the Western Hockey League (WHL) and four more in the American Hockey League (AHL) before making his NHL debut in 2013.  Bancks was born in Calgary, Alberta, but grew up in Marysville, British Columbia

List of AHL seasons: The American Hockey League is a minor professional ice hockey league in the United States and Canada.  It serves as the top developmental league for the National Hockey League.  The league played its first season in 1936 as the International-American Hockey League, a "circuit of mutual convenience" formed when the Northeast-based Canadian-American Hockey League and the Midwest-based International Hockey League agreed to play an interlocking schedule.  After two seasons, the leagues formally merged into a unified league under the I-AHL name.  After the 1939–40 season, the league became known as the American Hockey League.

Metropolitan Junior Hockey League: The Metropolitan Junior Hockey League was an American Tier III Junior ice hockey league with teams throughout the eastern United States.  The MJHL was part of the Atlantic Metropolitan Hockey League organization.  Founded in 1966 by New York Rangers GM, Emile Francis, the Metropolitan Junior Hockey League played its 50th season in 2015–16.  Prior to its 51st season, the league's operations were taken over by the North American Hockey League and it was renamed to North American 3 Atlantic Hockey League (NA3AHL) for the 2016–17 season.  In 2017, the remaining teams joined the Eastern Hockey League.

Marcel Cousineau: Marcel Cousineau (born April 30, 1973) is a retired professional ice hockey player who played 26 games in the National Hockey League.  He was selected by Boston Bruins in third round of the NHL draft.  As a rookie, he was named to the Quebec Major Junior Hockey League All-Rookie Team.  He also played professionally for the Toronto Maple Leafs (1996–98), New York Islanders (1998–99), Los Angeles Kings (1999-2000).  Between his starts in the NHL he played stints in the minors (American Hockey League, International Hockey League, Quebec Senior Hockey League, Ligue Nord-Américaine de Hockey) and overseas Russia (Kontinental Hockey League):

Philadelphia Arrows: The Philadelphia Arrows were a professional ice hockey team that played in Philadelphia, Pennsylvania.  Founded in 1927, the club was Philadelphia's first professional hockey team and played in the Canadian-American Hockey League.  The team changed its name to the Philadelphia Ramblers beginning with the 1935-36 season when it became affiliated with the NHL New York Rangers.  The following season and Ramblers and the C-AHL began playing an interlocking schedule with the International Hockey League for two seasons before the two circuits formally merged to form a new International American Hockey League (renamed the American Hockey League in 1940) in June, 1938.  (The Ramblers continued to play in this league until folding in 1941.)

Hershey Bears: The Hershey Bears are an American professional ice hockey team based in Hershey, Pennsylvania.  The current Bears club has played in the American Hockey League since the 1938-39 season making it the longest continuously operating member club of the league still playing in its original city.

Supporting paragraphs: Jonas Siegenthaler Hershey Bears
Answer: 1938-39