Marge was using ingratiation to aid her politicking when she tried to build rapport with the board before she presented her requests.

Ingratiation

A social influence strategy where an individual attempts to make themselves more likable to another person or group, often through flattery or other means.

Politicking

Engaging in political maneuvering or scheming, often with the aim of gaining personal advantage in a work or social context.

Build Rapport

The process of establishing a connection or mutual understanding between individuals or groups.