Disclaimer: I suggest rereading chapter 310, (This is The Supremacy Games Alliance) as this chapter will dive deeper into inner structure of the alliance.
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Felix didn't want to play the individual games at the moment since he had only three games before truly reaching the soft summit of the platform.
When he hit peak-tier radiant rank, he would have a promotional game that would decide if he was worthy to challenge empyrean ranked players and take their position or not.
After all, empyrean rank allow only top five hundred players and nothing more.
Felix didn't want to contest for the empyrean rank as he knew that his strength was still lacking.
Those top five hundred players shouldn't be messed with as most of them were old monsters, who lived for a hundred thousand years to millions.