How to make specific list print after each input with while loop?

Question

Hello, I am trying to make this while loop repeat after
each user input until (4) Abort is triggered.
In other words, I am trying to make the user able
to input 1,2 and 3 one after the other, receive the print response
without the program terminating.

So far I have only managed to make it print infinitely, which is bad.

I hope I made my question clear enough.
Please support me with your suggestions and simplifications.
Thank you!
Code playground link: https://code.sololearn.com/csFfKd3fktQN
Code below:

print('''Welcome commander.
Starship launch sequence initiated.
For list of available commands, type \"list\"
''')
list = ["(1) Start engines", "(2) Turn on autopilot", "(3) Launch", "(4) Abort"]

input = input("Please input your command:").lower()

while input != "4":
print("List of available commands:", *list, sep='\n')
if input == "1":
print('Starting engines...')
elif input == "2":
print('Turning on autopilot...')
elif input == "3":
print('Launch sequence engaged...')
elif input == "4":
print('Aborting...')
else: print('Input unrecognized. Try again.')

Answer 1

last command in while loop should be input= input()

Answer 2

while True:
print("List of available commands:", *commandlist, sep='\n')
userinput = input("Please input your command:").lower()

if userinput == "1":
print('Starting engines...')
elif userinput == "2":
print('Turning on autopilot...')
elif userinput == "3":
print('Launch sequence engaged...')
elif userinput == "4":
print('Aborting...')
break
else:
print('Input unrecognized. Try again.')

Answer 3

Oma Falk

This totally fixed it!

Thank you all for your input *^_^*