Question: Were both the Second Battle of Bull Run and the Operation Diadem fought with air attacks?

Context paragraphs:
South Fork Bull Run River: The South Fork Bull Run River is a tributary, about 6 mi long, of the Bull Run River in the U.S. state of Oregon.  Part of the system that provides drinking water to the city of Portland, it flows generally west through a protected part of the Mount Hood National Forest in Clackamas County.  It joins the Bull Run River at Bull Run Reservoir 2, about 8 mi from the larger stream's confluence with the Sandy River.

Manassas National Battlefield Park: Manassas National Battlefield Park, located north of Manassas, in Prince William County, Virginia, preserves the site of two major American Civil War battles: the First Battle of Bull Run on July 21, 1861, and the Second Battle of Bull Run which was fought between August 28 and August 30, 1862 (also known as the "First Battle of Manassas" and the "Second Battle of Manassas", respectively).  The peaceful Virginia countryside bore witness to clashes between the armies of the North (Union) and the South (Confederacy), and it was there that Confederate General Thomas J. Jackson acquired his nickname "Stonewall."

North Fork Bull Run River: The North Fork Bull Run River is a tributary, about 6 mi long, of the Bull Run River in the U.S. state of Oregon.  Part of the system that provides drinking water to the city of Portland, it flows generally south through a protected part of the Mount Hood National Forest in Multnomah County.  It joins the Bull Run River at Bull Run Reservoir 1.

Fir Creek (Bull Run River): Fir Creek is a tributary, about 5 mi long, of the Bull Run River in the U.S. state of Oregon.  Part of the system that provides drinking water to the city of Portland, it flows generally northwest through a protected part of the Mount Hood National Forest in Clackamas and Multnomah counties.  It joins the Bull Run River at the upper end of Bull Run Reservoir 1, about 14 mi from the larger stream's confluence with the Sandy River.

Operation Diadem: Operation Diadem, also referred to as the Fourth Battle of Monte Cassino or, in Canada, the Battle of the Liri Valley, was an offensive operation undertaken by the Allies of World War II (U.S. Fifth Army and British Eighth Army in May 1944, as part of the Italian Campaign of World War II.  "Diadem" was supported by air attacks called Operation Strangle.  The opposing force was the German 10th Army.

USNS Bull Run (T-AO-156): The SS Bull Run was a type T2 tanker built at Sun Shipbuilding and Drydock Co. in Chester, PA as hull number 287 and USMC number 362 in 1943.  In 1956, the ship was acquired by the US Navy from the Maritime Administration, assigned to MSTS, and placed in-service as the USNS Bull Run (T-AO-156).  It left the navy in 1957, going back to the Maritime Administration.  In 1969, the stern of the Bull Run was attached to the bow of the Type C4 ship the Anchorage, and the completed ship then retained the name Anchorage.  The bow of the Bull Run was then scrapped.

Irvin McDowell: Irvin McDowell (October 15, 1818 – May 4, 1885) was a career American army officer.  He is best known for his defeat in the First Battle of Bull Run, the first large-scale battle of the American Civil War.  In 1862, he was given command of the I Corps of the Army of the Potomac.  He fought unsuccessfully against Stonewall Jackson's troops during the Valley Campaign of 1862, and was blamed for contributing to the defeat of United States troops at the Second Battle of Bull Run in August.

Bull Run, Oregon: Bull Run is an unincorporated community in Clackamas County, Oregon, United States.  It is located about 5 miles northeast of Sandy, near the Bull Run River and the powerhouse of the defunct Mount Hood Railway and Power Company (later the Bull Run Hydroelectric Project).

Second Battle of Bull Run: The Second Battle of Bull Run or Battle of Second Manassas was fought August 28–30, 1862 in Prince William County, Virginia, as part of the American Civil War.  It was the culmination of the Northern Virginia Campaign waged by Confederate Gen. Robert E. Lee's Army of Northern Virginia against Union Maj. Gen. John Pope's Army of Virginia, and a battle of much larger scale and numbers than the First Battle of Bull Run (or "First Manassas") fought on July 21, 1861 on the same ground.

Operation Diadem order of battle: Operation Diadem order of battle is a listing of the significant formations that were involved in the fighting on the Winter Line and at the Anzio bridgehead south of Rome during "Operation Diadem" in May - June 1944 which resulted in the Allied breakthrough at Cassino and the breakout at Anzio leading to the capture of Rome.

Supporting paragraphs: Second Battle of Bull Run Operation Diadem
Answer: no