Formula for: Filter an array based on a referenced value, then select largest value in other column

Hello,

I am looking for some sort of "LARGEIF" formula. Here is my dataset. Column D represents expected results from the formula I need.

In words, I would put the following formula in cell D2:

- For entire dataset:

- Consider only rows that have column A = cell A2

- Then, consider only rows that have column B = cell B2. Mockup result using actual filters:

- Then, using the resulting filtered dataset, get the largest value in column C. The largest value is 7:

- copy down this formula in column D to get the following results:

Can this be achieved?

 Thanks