Get most frequent elements across all groups in a Panda time series

Question

How one can plot the count of the n most frequent elements across all groups for a given multi group time series? Note this is different from n most frequent elements of each group, which could be accomplished with count and nlargest.

Given a dataframe:

import pandas as pd

data = {'year': [2020, 2020, 2021, 2021, 2022], 
        'month': [1, 1, 2, 2, 3],
        'Name': ['name_1', 'name_2', 'name_1', 'name_2', 'name_1'], 
        'count': [10, 12, 8, 10, 2]}  

df = pd.DataFrame(data)

print(df)

which outputs

   year  month    Name  Count
0  2020      1  name_1     10
1  2020      1  name_2     12
2  2021      2  name_1      8
3  2021      2  name_2     10
4  2022      3  name_1      2

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• data should be grouped by year and month
• I want n = 1, in other words the most frequent one

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I would like to plot only name_1's count since, although it does not have the largest count in any group (or even overall), it "appears" more times.