Python: If statement not working under a for loop

list = ["Donald, Trump", "Joe, Biden", "Barack, Obama"]

while True:

  name = input("Name: ")

  for short in list:
    if name in short[0]:
      print("It Work")


  else:
    print("It Don't Work")

It should print "It Work" since the answers I've provided were in the list but instead it doesn't read the if and instead goes through else, I also have tried removing the else and still does not work

#Output
Name: Donald
It Don't Work
Name: Joe
It Don't Work
Name: Barack 
It Don't Work
Name: Donald Trump
It Don't Work
Name: