nudge out
Upper Intermediate (B2)neutral
To slowly or gently push someone out of a position or first place.
"She nudged out her nearest rival by just three votes to win the student election."
Hear it in context

Opus 5.5: How Close Are We to Automated AI Research?
AI Explained · 3:38
Opus 5.5 might nudge out Astra.

Let's Learn English! Topic: Describing People! 🧩👑🏈
Learn English with Bob the Canadian · 54:54
who needs a little nudge out the door from time to time.