[Python] What is the type for functions taking int as a first parameter and then optional...

Let's consider that I have functions with these ones :

def f1(a: int, **other_args):
...

def f2(a: int, b: str, c: dict):
...

def f3(a: int, b: tuple[str], **other_args):
...


All these functions are beginning with a int as argument, and then taking other arguments, that can or not be optional.

Now I want to store them in a list :

l: list[?] = [f1, f2, f3]


I know that I can do something like

import typing

param_spec = typing.ParamSpec('param_spec')
l: list[typing.Callable[typing.Concatenate[int, param_spec], typing.Any]] = [f1, f2, f3]


but it would mean that all functions can take the same arguments, which is not the case between f2 and f3 for example.

I also tried

l: list[typing.Callable[typing.Concatenate[int, ...], typing.Any]] = [f1, f2, f3]


but I got TypeError: The last parameter to Concatenate should be a ParamSpec variable.

I also have tried

l: list[typing.Callable[[int, ...], typing.Any]] = [f1, f2, f3]


but, in this case, ... is considered as a *args, and not **kwargs.

Does it exists a type that describes this kind of functions? How can I do it?

Thanks for your help!

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