Rearranging "Baggage"

How many distinct ways are there to rearrange all the letters in the word " $baggage$ " ?

Details and assumptions

The 3 letters $g$ are indistinguishable from each other. The same applies to the two letters $a$ .

The arrangement " $baggage$ " should be counted as one of the distinct ways. " $egaggab$ " is another one of the distinct ways.