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nested - Python dictionaries-How to keep the new value from overwriting the previous value?

I want to create a Dictionary called "First" (as in First Name) that will store numerous first names which are all stored in the dictionary via a function. The idea is that the dictionary can support multiple names,

so here is my problem:

When I add a name to the dictionary, then I go to add a second one via the function, the previous name is overwritten by the last. How do I mend this? I know it involves something like a dictionary within a dictionary, or nested conditionals. Here is my code:

def store(data,value):
    data['Names'] = {}
    data['Names']['first'] = {}
    data['Names']['first'] = {value}
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Turn data['Names']['first'] in a list and append to it:

data['Names'] = {}
data['Names']['first'] = []

def store(data, value):
    data['Names']['first'].append(value)

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