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Finding MINIMUM Based On Adjacent Criteria

What I am attempting to do is find the MIN value in Column C where values in Column A are equal.

The data would look like this

A B C D (D:D is where the "MIN" Formula will be)
Scope1 NameA $100
Scope1 NameB $145
Scope1 NameC $115 $100 (I want the min value to show up here)
- (this would trigger a break between scopes, and provide a conditional format separator)
Scope2 NameE $450
Scope2 NameG $345
Scope2 NameX $415 $345

So every time I put a "-" I would like the MIN formula to trigger in (Row#-1,D)

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