Can I deploy a common function when using Google Cloud Function by Python?

I have created a Common class that will be used in common and am approaching from the A function and B function.

If I add variables to the Common class, you must deploy both A and B classes.

How can I apply the Common class take effect without deploy all the A and B functions?

class Common:
    def __init__(self, tmp):
        self.FIRST = tmp
        self.SECOND = 'Test' # new.

    # I want to modify this function.
    # but I have to deploy function A and B.
    # If I have a lot of functions I need a lot of time.
    def print_value(self):
        print(self.FIRST) # old.
        print(self.FIRST, self.SECOND) # new.

class A:
    def __init__(self):
        o = Common('A')
        o.print_value()

class B:
    def __init__(self):
        o = Common('B')
        o.print_value()