I'm trying to relate the groupby filtered dataframe to the original dataframe. After doing the groupby I lose some columns that I had in the original dataframe. The idea is to relate it back to their respective STATE and CITY values. But when I try to relate back the dataframe grows back to normal size with 17 rows. I just want the interface of the original dataframe to the final dataframe which contains 9 rows.
Original dataframe:
    |  COD      |STATE| CITY  |   AZIM | SET|TEC|
0   |ALAAD_0001 |AL   |MAC    |0       |1   |4  |
1   |ALAAD_0001 |AL   |MAC    |120     |2   |4  |
2   |ALAAD_0001 |AL   |MAC    |120     |2   |4  |
3   |ALAAD_0001 |AL   |MAC    |240     |3   |4  |
4   |BAPID_0001 |BA   |SAL    |20      |1   |2  |
5   |BAPID_0001 |BA   |SAL    |20      |1   |2  |
7   |BAPID_0001 |BA   |SAL    |100     |2   |2  |
8   |BAPID_0001 |BA   |SAL    |210     |3   |2  |
9   |BAPID_0001 |BA   |SAL    |250     |3   |2  |
10  |BAPID_0001 |BA   |SAL    |250     |3   |2  |
11  |CEMBC_0003 |CE   |FOR    |90      |1   |4  |
12  |CEMBC_0003 |CE   |FOR    |80      |1   |4  |
13  |CEMBC_0003 |CE   |FOR    |160     |2   |4  |
14  |CEMBC_0003 |CE   |FOR    |160     |2   |4  |
15  |CEMBC_0003 |CE   |FOR    |170     |2   |4  |
16  |CEMBC_0003 |CE   |FOR    |280     |3   |4  |
After groupby:
    | COD       |TEC     |SET |AZIM|
0   |ALAAD_0001 |4       |1   |0   |
1   |ALAAD_0001 |4       |2   |120 | 
2   |ALAAD_0001 |4       |3   |240 | 
3   |BAPID_0001 |2       |1   |20  | 
4   |BAPID_0001 |2       |2   |100 | 
5   |BAPID_0001 |2       |3   |250 |
6   |CEMBC_0003 |4       |1   |90  | 
7   |CEMBC_0003 |4       |2   |160 | 
8   |CEMBC_0003 |4       |3   |280 | 
df_cut = (
    df.groupby(["COD","TEC","SET"])
    .AZIM
    .agg(lambda x: pd.Series.mode(x).max())
    .reset_index()
)
Expected output:
    |   COD     | TEC    | SET |AZIM  | STATE | CITY |
0   |ALAAD_0001 |4       |1    |0     | AL    |MAC   |
1   |ALAAD_0001 |4       |2    |120   | AL    |MAC   |
2   |ALAAD_0001 |4       |3    |240   | AL    |MAC   |
3   |BAPID_0001 |2       |1    |20    | BA    |SAL   |
4   |BAPID_0001 |2       |2    |100   | BA    |SAL   |
5   |BAPID_0001 |2       |3    |250   | BA    |SAL   |
6   |CEMBC_0003 |4       |1    |90    | CE    |FOR   |
7   |CEMBC_0003 |4       |2    |160   | CE    |FOR   |
8   |CEMBC_0003 |4       |3    |280   | CE    |FOR   |
 
     
    