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Hi there. My timezone is GMT+3 so our difference is nine hours. Friday and Saturday are both out of the picture since those times are way too late for me. Sunday 4pm your time could work since I am starting my studies a week later so playing at 1am my time might not be an issue.
However, since our difference is quite huge and we got paired up today, I don't see any reason why we couldn't get an extension. You mentioned about playing pretty much at anytime in the upcoming days; how would Monday 1pm your time sound to you? That would be 10pm my time.