pull_ahead
1. [ verb ] obtain advantages, such as points, etc.
Synonyms: win get_ahead advance gain gain_ground make_headway
Examples:

"The home team was gaining ground" "After defeating the Knicks, the Blazers pulled ahead of the Lakers in the battle for the number-one playoff berth in the Western Conference"

Related terms: fall_back score steal win gainer
Similar spelling:   pull_at