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Best
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Move the dog with one finger, keep the flock together and push them through the gate before time runs out.
Drag anywhere to move the sheepdog. Sheep run away from the dog when it comes close and huddle together with the sheep around them, so where you stand decides where the flock goes. Win the round by getting every sheep through the gate into the pen before the clock runs out. The dog belongs behind the flock, on the far side from the gate; swing wide around the sheep to get there, because walking through the middle scatters them. Each round adds more sheep, narrows the gate and shortens the clock. You have three lives, and your score is the number of rounds you pen.
The single mistake that decides this game is charging at the nearest sheep. It feels like progress because that sheep moves, but it moves away from wherever the dog happens to be, which is almost never toward the gate. Worse, the dash cuts through the middle of the flock and blows the group apart, and a scattered flock takes three times as long to gather as it did to break.
Think of the dog as a wall you are placing, not a chaser. Put it behind the flock on the opposite side from the pen, and every sheep that runs from it runs the way you want. Getting there is the skill: swing wide around the outside of the group, keeping just outside the distance at which sheep react, and only close in once you are lined up with the gate behind them.
Measured over thousands of rounds, that one difference decides everything. Driving from behind pens the flock about three quarters of the time on the first level; charging the nearest sheep succeeds under three times in a hundred, and a dog that stands still or wanders randomly never pens a single flock. Pushing from behind without swinging wide — cutting straight to the driving spot through the sheep — lands in between at about a third, which is exactly the cost of scattering them on the way.
Two details buy you the rest. A sheep that has drifted away from the group has to be walked back before you push, because it will not follow the flock on its own and one stray costs you the round. And aim at the funnel, not the gate: the two angled fences below the opening exist to gather a wide flock into a narrow line, so a group arriving anywhere between them ends up in the pen, while a group aimed exactly at the gap will spill around it the moment one sheep swerves.