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Coaches score and strategy ?

What exactly does coaches score correspond to, what does it reflect. Additionally, I see some higher level strategy options under the strategy tab that are greyed out? Are those upcoming features or is there some investment you can make to take advantage of those? Thanks much
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The coach score just tells you the rate of improvement he/she will put on your player.
So higher score = faster impovement.

The greyed out parts in the strategy tab are not implemented yet. Therefore your can just ignor them.
The same goes for aggression and leadership stats on your line-up

E: ah wait, were you asking for the coach performance score in your reports? That's a combination of your team elo and your league standing.
It's used for seedings in tournaments as you can see here:
https://www.lolmanager.gg/tournament