How to subclass a frozen dataclass

I have inherited the Customer dataclass. This identifies a customer in the customer DB table.

Customer is used to produce summary statistics for transactions pertaining to a given customer. It is hashable, hence frozen.

I require a SpecialCustomer (a subclass of Customer) it has an extra property: special_property. Most of the properties inherited from Customer will be set to fixed values. This customer does not exist in the Customer table.

I wish to utilise code which has been written for Customer. Without special_property we will not be able to distinguish between special customers.

How do I instantiate SpecialCustomer?

Here is what I have. I know why this doesn't work. Is there some way to do this?:

from dataclasses import dataclass


@dataclass(frozen=True, order=True)
class Customer:
    property: str


@dataclass(frozen=True, order=True)
class SpecialCustomer(Customer):

    special_property: str = Field(init=False)

    def __init__(self, special_property):
        super().__init__(property="dummy_value")
        self.special_property = special_property

s = SpecialCustomer(special_property="foo")

Error:

E   dataclasses.FrozenInstanceError: cannot assign to field 'special_property'

<string>:4: FrozenInstanceError