Question: Were Gothic Line and Battle of Tarawa part of the same war?

Context articles: Gothic Line
Sacred Heart Cathedral, Kiribati
Battle of Rimini (1944)
Tarawa
Trasimene Line
Gothic Line order of battle
USS Tarawa (LHA-1)
Battle of Tarawa
Battle of Gemmano
USS Tarawa (CV-40)

The Gothic Line (German: "Gotenstellung" ; Italian: "Linea Gotica" ) was a German defensive line of the Italian Campaign of World War II.
 It formed Field Marshal Albert Kesselring's last major line of defence along the summits of the northern part of the Apennine Mountains during the fighting retreat of the German forces in Italy against the Allied Armies in Italy, commanded by General Sir Harold Alexander.
The Sacred Heart Cathedral is the name given to a religious building of the Catholic church that is located in South Tarawa Atoll on the island of Tarawa part of the island nation of Kiribati in Oceania.
The Battle of Rimini took place between 13 and 21 September 1944 during Operation "Olive", the main Allied offensive on the Gothic Line in August and September 1944, part of the Italian Campaign in the Second World War.
 Rimini, a town on the Adriatic coast of Italy, anchored the Rimini Line, a German defensive line which was the third such line forming the Gothic Line defences.
Tarawa is an atoll and the capital of the Republic of Kiribati, in the central Pacific Ocean.
 It comprises North Tarawa, which has much in common with other, more remote islands of the Gilberts group; and South Tarawa, which is home to 50,182 as of 2010 – half of the country's total population.
 The atoll is best known by outsiders as the site of the Battle of Tarawa during World War II.
The Trasimene Line (so-named for Lake Trasimene, the site of a major battle of the Second Punic War in 217 BCE) was a German defensive line during the Italian Campaign of World War II.
 It was sometimes known as the Albert Line.
 The German Commander-in-Chief (C-in-C), "Generalfeldmarschall" Albert Kesselring, used the line to delay the Allied northward advance in Italy in mid June 1944 to buy time to withdraw troops to the Gothic Line and finalise the preparation of its defenses.
Gothic Line order of battle is a listing of the significant formations that were involved in Operation "Olive", the Allied offensive on the Gothic Line in northern Italy, August–September 1944, and in the subsequent fighting in the central Apennine mountains and on the plains of eastern Emilia–Romagna up to April 1945.
USS "Tarawa" (LHA-1) is a United States Navy amphibious assault ship, the lead ship of her class, and the second ship to be named for the Battle of Tarawa during World War II.
 "Tarawa" was decommissioned on 31 March 2009, at San Diego Naval Base.
The Battle of Tarawa was a battle in the Pacific Theater of World War II that was fought on 20–23 November 1943.
 It took place at the Tarawa Atoll in the Gilbert Islands, and was part of Operation Galvanic, the U.S. invasion of the Gilberts.
 Nearly 6,400 Japanese, Koreans, and Americans died in the fighting, mostly on and around the small island of Betio, in the extreme southwest of Tarawa Atoll.
The Battle of Gemmano was fought between the German and Allied forces in World War II.
 It was part of the Allies' Operation Olive, the offensive in August 1944 on the Gothic Line, the German line of defence in the Apennines in northern Italy.
 It consisted of a series of four British attacks between 4 September to 15 September 1944, on the German defences in and around the village of Gemmano.
 The village itself was taken on 9 September during the second attack, two more actions being required to take the surrounding area.
 Fighting was heavy, and the Battle of Gemmano has been called the "Cassino of the Adriatic" by some historians.
USS "Tarawa" (CV/CVA/CVS-40, AVT-12) was one of 24 "Essex"-class aircraft carrier s built during and shortly after World War II for the United States Navy.
 The ship was the first US Navy ship to bear the name, and was named for the bloody 1943 Battle of Tarawa.
 "Tarawa" was commissioned in December 1945, too late to serve in World War II.
 After serving a short time in the Far East, she was decommissioned in 1949.
 She was soon recommissioned after the Korean War began, serving in the Atlantic as a replacement for carriers sent to Korea.
 In the early 1950s, she was redesignated an attack carrier (CVA) and then an antisubmarine warfare carrier (CVS).
 Except for one tour in the Far East, she spent her entire second career operating in the Atlantic and Caribbean.
 Consequently, "Tarawa" was the only ship of her class to never see combat action.