Using aggregate on another aggregate function - MAX() on an aggregate

Question

I've a tournament bracket consisting of 2 Groups (Group A and Group B). I already have a query where I retreive some information such as the average rating, amount of teams etc.

To the problem: I don't want to allow 2 teams of the same group having the same color. I want a column representing the MAX() of ColorInterference without having to make a subselect.

Is this possible or am I forced to make a SELECT MAX(ColorInterference) over the query result?

Group	Team	Color	Rating	TeamsCount	AverageRating	AverageRatingGroup	ColorInterference
A	Helos	Green	1452	8	1518	1544	0
A	Pelicans	Purple	1687	8	1518	1544	0
A	Epic Square Dance	Red	1498	8	1518	1544	0
A	Narnia Ninjas	Yellow	1542	8	1518	1544	0
B	O.T.	Blue	1502	8	1518	1492	0
B	Helos	Green	1452	8	1518	1492	1
B	Treasure Goggles	Green	1485	8	1518	1492	1
B	Red Off	Yellow	1530	8	1518	1492	0

DECLARE @Bracket_Groups Table ([Group] nvarchar(10), Team nvarchar(50), Color nvarchar(50), Rating int)
INSERT INTO @Bracket_Groups(Team, [Group], Color, Rating)
SELECT        'Narnia Ninjas', 'A', 'Yellow' , 1542
UNION SELECT  'Helos', 'A', 'Green', 1452
UNION SELECT  'Pelicans', 'A', 'Purple', 1687
UNION SELECT  'Epic Square Dance', 'A', 'Red', 1498
UNION SELECT  'O.T.', 'B', 'Blue', 1502
UNION SELECT  'Red Off', 'B', 'Yellow', 1530
UNION SELECT  'Helos', 'B', 'Green', 1452
UNION SELECT  'Treasure Goggles', 'B', 'Green', 1485

SELECT 
    [Group]
  , Team
  , Color
  , Rating
  , COUNT(*)  OVER()                                          as TeamsCount
  , AVG(Rating) OVER ()                                       as AverageRating
  , AVG(Rating) OVER (Partition By [Group])                   as Group_AverageRating
  , SIGN(COUNT(Color) OVER (partition By [Group], Color) - 1) as ColorInterference
FROM @Bracket_Groups
Order by [Group]