Mediate

v.calm, thoughtfulprofessional

What it means

To act as a neutral helper so people in conflict can understand the issues and seek agreement.

Reach for it when describing third-party support for resolving a dispute

A trained volunteer agreed to mediate the disagreement over the shared workshop.

playful
referee
when informally keeping a dispute fair and within rules
not when It suggests policing or declaring winners rather than helping parties understand each other.
warm
make peace
for personal language about reducing hostility between people
not when The phrase is too broad and may imply that harmony matters more than a fair outcome.
warm
reconcile
when restoring a damaged relationship is the desired result
not when Reconciliation can happen without a third-party process and may not settle the practical dispute.
professional
facilitate
when guiding the quality and structure of discussion is enough
not when A facilitator need not address conflict or remain neutral between opposing claims.
professional
intervene
when entering a harmful situation is necessary to change its course
not when Intervention can be authoritative or one-sided rather than neutral.
professional
moderate
when managing turn-taking and tone in a discussion is the role
not when Moderation keeps order but does not always work toward resolving the underlying conflict.
formal
arbitrate
when a neutral third party hears both sides and makes a decision
not when An arbitrator can impose an outcome, while a mediator helps the parties create one.
formal
broker
when actively assembling terms for a deal or settlement
not when Broker suggests transaction and influence, not necessarily careful mutual understanding.

mediate a dispute
The ombudsman will mediate a dispute only if both parties consent.
mediate between parties
She was asked to mediate between parties with very different timelines.
attempt to mediate
Several elders attempted to mediate before the disagreement reached court.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.