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Alrighty, I think this is it.
Your tracerts show no problems.
BTW it's pointless bumping a thread, it won't get you an answer any quicker.
The timed out request is just a server configured not to respond to ping.
Tracing route to eu.frostgaming.com seems fine.
The increased latency on No. 9 206 ms 45 ms 39 ms 18.104.22.168 is outside the BT network and nothing you can do about that.
On the whole the timing to the game server looks normal.
Repeated pings to 22.214.171.124 returned 20ms from here so the longer time in your trace on the first ping is likely just a temporary glitch.
For information the 126.96.36.199 is in Holland, so again not a lot you can do.