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How to create an average value for every cell which contains a certain phrase?

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I need to find the average value of cells containing a certain set of initials to create a scoreboard.

The value of the cell being the score and the brackets containing the initials of the score setter.

Here is the table I am referring to.

So the goal is to create an average score for each of the players (HG), (GT) & (JT).

I have tried different ways of combining REGEXMATCH and REGEXEXTRACT to no avail.

I don't mind using multiple cells if need be.


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