Fill Null address based on the same owner in Python

Question

Lets say I have a table of house cleaning service like this.

| Customer| House Address | Date     |
| ------- | ------------- | -------- |
| Sam     | London        | 10/01/22 |
| Lina    | Manchester    | 12/01/22 |
| Sam     | Null          | 15/01/22 |

We know that Sam house address should be London (assume that the customer id is the same).

How can I fill the third row based on the first row?

Data:

{'Customer': ['Sam', 'Lina', 'Sam'],
 'House Address': ['London', 'Manchester', nan],
 'Date': ['10/01/22', '12/01/22', '15/01/22']}