how to use argparser module in python to make a complex command

i'm trying to make a python program that has a complex argument parser . the program (let call it MyProg ) need to work as follow

1-MyProg wil take some files as input so i used a -f flage in the main parser (this is already a subparser so i can't use a subparser).

2-the program has 2 argument (-a and -s)that shoudent be present together and one of them is required so i used a mutualexclusion group.

3--a need to have a -k argument with it so i put the -k alone in a normal group inside the mutualexclusion group i made i the 2nd step and made it (-k) a required argument.

4-the problem is that the -s argument need either -k or another --e argument (not both) so i don't know where to put this -e argument so it can't be with -a or with -k .

the code :

description = "Prog"
# Initialize parser
parser = argparse.ArgumentParser(description=description,)

subparsers = parser.add_subparsers(required=True)

parser_MyProg = subparsers.add_parser('MyProg')


group_mut = parser_MyProg.add_mutually_exclusive_group()

group_k = group_mut.add_argument_group()


group_mut.add_argument('-a', type=int)
group_k.add_argument('-k', '--key', required=True, type=type=argparse.FileType('r'))

group_mut.add_argument('-s', type=int,)

group_mut.add_argument('-e',type=int)


parser_MyProg.add_argument( '-f', nargs='+', type=type=argparse.FileType('r'))

#some valid usecases (Should be valid)

args = parser.parse_args(
    'MyProg -a 8 -k k.txt  -f file1.txt file2.txt '.split())

args = parser.parse_args(
    'MyProg -s 8 -k k.txt  -f file1.txt file2.txt '.split())

args = parser.parse_args(
    'MyProg -s 8 -e 5  -f file1.txt file2.txt '.split())

#some invalid usecases (Should not be valid)

args = parser.parse_args('MyProg -a 8    -f file1.txt file2.txt '.split())   #need a -k

args = parser.parse_args('MyProg -s 8  -f file1.txt file2.txt '.split())    #need a -k or -e

args = parser.parse_args('MyProg -s 8 -e 5 -k k.txt  -f file1.txt file2.txt '.split())  # -k and -e can't be present together

in the code above i used -e in the mutual exclusion groupe but that doesent work because : 1- i can't use it with -s 2- i can use it with -k 3- the argument -k is required even with -s argument (with -s i want either -e or -k not both)

i simplified the code a little so you can see the problem . the program is an encryption and decryption and hashing program but i just wanted to make it clear that's why i did simplify it a little.