Question: Which occurred first the Battle of Cold Harbor or the Lorraine Campaign?

full_context: Document 1: Battle of Fort Driant: The Battle of Fort Driant was a constituent battle in the 1944 Battle of Metz, during the Lorraine Campaign and the greater Siegfried Line Campaign. The battle was on occupied French territory between the forces of the United States Third Army under the command of General George S. Patton and the forces of Nazi Germany under General Otto von Knobelsdorff.
Document 2: George S. Patton: General George Smith Patton Jr. (November 11, 1885 – December 21, 1945) was a senior officer of the United States Army who commanded the U.S. Seventh Army in the Mediterranean and European theaters of World War II, but is best known for his leadership of the U.S. Third Army in France and Germany following the Allied invasion of Normandy in June 1944.
Document 3: Battle of Gettysburg: The Battle of Gettysburg ( , with an sound) was fought July 1–3, 1863, in and around the town of Gettysburg, Pennsylvania, by Union and Confederate forces during the American Civil War. The battle involved the largest number of casualties of the entire war and is often described as the war's turning point. Union Maj. Gen. George Meade's Army of the Potomac defeated attacks by Confederate Gen. Robert E. Lee's Army of Northern Virginia, halting Lee's invasion of the North.
Document 4: Battle of the Bulge: The Battle of the Bulge (16 December 1944 – 25 January 1945) was the last major German offensive campaign on the Western Front during World War II. It was launched through the densely forested Ardennes region of Wallonia in eastern Belgium, northeast France, and Luxembourg, towards the end of World War II. The surprise attack caught the Allied forces completely off guard. American forces bore the brunt of the attack and incurred their highest casualties of any operation during the war. The battle also severely depleted Germany's armored forces, and they were largely unable to replace them. German personnel and, later, Luftwaffe aircraft (in the concluding stages of the engagement) also sustained heavy losses.
Document 5: Battle of the Wilderness: The Battle of the Wilderness, fought May 5–7, 1864, was the first battle of Lt. Gen. Ulysses S. Grant's 1864 Virginia Overland Campaign against Gen. Robert E. Lee and the Confederate Army of Northern Virginia in the American Civil War. Both armies suffered heavy casualties, a harbinger of a bloody war of attrition by Grant against Lee's army and, eventually, the Confederate capital, Richmond, Virginia. The battle was tactically inconclusive, as Grant disengaged and continued his offensive.
Document 6: Operation Veritable: Operation "Veritable" (also known as the Battle of the Reichswald) was the northern part of an Allied pincer movement that took place between 8 February and 11 March 1945 during the final stages of the Second World War. The operation was conducted by Field Marshal Bernard Montgomery's Anglo-Canadian 21st Army Group, primarily consisting of the First Canadian Army under Lieutenant-General Harry Crerar and the British XXX Corps under Lieutenant-General Brian Horrocks. The U.S. Ninth Army was incorporated into the 21st Army Group. The objective of the operation was to clear German forces from the area between the Rhine and Maas rivers, east of the German/Dutch frontier, in the Rhineland. It was part of General Dwight D. Eisenhower's "broad front" strategy to occupy the entire west bank of the Rhine before its crossing. "Veritable" (originally called "Valediction") had been planned for execution in early January, 1945 when the ground had been frozen and thus more advantageous to the Allies. The Allied expectation was that the northern end of the Siegfried Line was less well defended than elsewhere and an outflanking movement around the line was possible and would allow an early assault against the industrial Ruhr region.
Document 7: Battle of Cold Harbor: The Battle of Cold Harbor was fought from May 31 to June 12, 1864, with the most significant fighting occurring on June 3. It was one of the final battles of Union Lt. Gen. Ulysses S. Grant's Overland Campaign during the American Civil War, and is remembered as one of American history's bloodiest, most lopsided battles. Thousands of Union soldiers were killed or wounded in a hopeless frontal assault against the fortified positions of Confederate Gen. Robert E. Lee's army.
Document 8: Battle of Fredericksburg: The Battle of Fredericksburg was fought December 11–15, 1862, in and around Fredericksburg, Virginia, between General Robert E. Lee's Confederate Army of Northern Virginia and the Union Army of the Potomac, commanded by Major General Ambrose Burnside, as part of the American Civil War. The Union Army's futile frontal attacks on December 13 against entrenched Confederate defenders on the heights behind the city are remembered as one of the most one-sided battles of the war, with Union casualties more than three times as heavy as those suffered by the Confederates. A visitor to the battlefield described the battle to U.S. President Abraham Lincoln as a "butchery."
Document 9: Operation Nordwind: Operation North Wind (German: "Unternehmen Nordwind" ) was the last major German offensive of World War II on the Western Front. It began on 31 December 1944 in Alsace and Lorraine in northeastern France, and ended on 25 January.
Document 10: Battle of Chancellorsville: The Battle of Chancellorsville was a major battle of the American Civil War (1861–1865), and the principal engagement of the Chancellorsville Campaign. It was fought from April 30 to May 6, 1863, in Spotsylvania County, Virginia, near the village of Chancellorsville. Two related battles were fought nearby on May 3 in the vicinity of Fredericksburg. The campaign pitted Union Army Maj. Gen. Joseph Hooker's Army of the Potomac against an army less than half its size, General Robert E. Lee's Confederate Army of Northern Virginia. Chancellorsville is known as Lee's "perfect battle" because his risky decision to divide his army in the presence of a much larger enemy force resulted in a significant Confederate victory. The victory, a product of Lee's audacity and Hooker's timid decision making, was tempered by heavy casualties, including Lt. Gen. Thomas J. "Stonewall" Jackson. Jackson was hit by friendly fire, requiring his left arm to be amputated; he died of pneumonia eight days later, a loss that Lee likened to losing his right arm.
Document 11: Cold Harbor Union order of battle: The following Union Army units and commanders fought in the Battle of Cold Harbor (May 31–June 12, 1864) of the American Civil War. The Confederate order of battle is listed separately. Order of battle compiled from the army organization May 31, 1864, army organization May 26-June 3, 1864, the casualty returns and the reports.
Document 12: Lorraine Campaign: Lorraine Campaign is a term used by U.S. Army historians to describe operations of the U.S. Third Army in Lorraine during World War II from September 1 through December 18, 1944. Official U.S. Army campaign names for this period and location are "Northern France" and "Rhineland". The term was popularized by the publication of a volume of the same name by the U.S. Army in 1950. As written by the volume's author:
Document 13: Battle of Gaines's Mill: The Battle of Gaines's Mill, sometimes known as the First Battle of Cold Harbor or the Battle of Chickahominy River, took place on June 27, 1862, in Hanover County, Virginia, as the third of the Seven Days Battles (Peninsula Campaign) of the American Civil War. Following the inconclusive Battle of Beaver Dam Creek (Mechanicsville) the previous day, Confederate General Robert E. Lee renewed his attacks against the right flank of the Union Army, relatively isolated on the northern side of the Chickahominy River. There, Brig. Gen. Fitz John Porter's V Corps had established a strong defensive line behind Boatswain's Swamp. Lee's force was destined to launch the largest Confederate attack of the war, about 57,000 men in six divisions. Porter's reinforced V Corps held fast for the afternoon as the Confederates attacked in a disjointed manner, first with the division of Maj. Gen. A.P. Hill, then Maj. Gen. Richard S. Ewell, suffering heavy casualties. The arrival of Maj. Gen. Stonewall Jackson's command was delayed, preventing the full concentration of Confederate force before Porter received some reinforcements from the VI Corps.
Document 14: Battle of Arracourt: The Battle of Arracourt was a major clash between U.S. and German armored forces near the town of Arracourt, Lorraine, France, between 18–29 September 1944, during World War II. As part of a counteroffensive against recent U.S. advances in France, the German 5th Panzer Army had as its objective the recapture of Lunéville and the elimination of the U.S. XII Corps bridgehead over the Moselle River at Dieulouard. With local superiority in troops and tanks, the Germans anticipated quick defeat of the defending Combat Command A (CCA) of the U.S. 4th Armored Division. However, due in part to poor German tactics and the terrain, the 4th Armored Division's CCA, in concert with U.S. tactical air forces, defeated two Panzer Brigades and elements of two "Panzer" divisions in a series of engagements over an eleven-day period.
Document 15: Cold Harbor Confederate order of battle: The following Confederate States Army units and commanders fought in the Battle of Cold Harbor (May 31–June 12, 1864) of the American Civil War. The Union order of battle is listed separately. Order of battle compiled from the army organization during the battle and the reports.
ground_truth: The Battle of Cold Harbor