> no one on the American side has died.

Incorrect. Thirteen US service members are confirmed to have died, here are their names:

  Sgt. Benjamin Pennington (age 26)

  Maj. Sorffly Davius (age 46)

  Maj. Jeffrey O'Brien (age 45)

  Capt. Cody Khork (age 35)

  Sgt. Noah Tietjens (age 42)

  Sgt. Nicle Amor (age 39)

  Sgt. Declan Coady (age 20)

  Maj. John Klinner (age 33)

  Capt. Ariana Savino (age 31)

  Tech. Sgt. Ashley Pruitt (age 34)

  Capt. Seth Koval (age 38)

  Capt. Curtis Angst (age 30)

  Tech. Sgt. Tyler H Simmons (age 28)

Here are the press releases from the US government acknowledging their deaths:

https://www.war.gov/News/Releases/Release/Article/4428396/do...

https://www.war.gov/News/Releases/Release/Article/4428157/do...

https://www.war.gov/News/Releases/Release/Article/4421430/do...

https://www.war.gov/News/Releases/Release/Article/4420475/do...

https://www.war.gov/News/Releases/Release/Article/4434924/do...

Rest in peace.