After that, the aircraft continued to accelerate and climb.
Except for silence from the cockpit, the climb and speed appear to be normal.
The Lear Jet is designed to go fast and at high altitude.
At or very soon after 23:06:52 Zulu (247 mph), the jet either lost power, or somebody reduced power, or something reduced power.
Could be, the left engine was not running great, even before 23:06:52 Zulu, and then it "choked?"