How can colleagues outside marketing improve a creative brief?
A colleague from a different discipline can question an assumption that specialists no longer notice. A panelist in the creative judgment discussion wanted teams to spend recovered time with people outside their own discipline for that reason. Pick one open question in the brief and invite the people whose work touches it.

It could be what a customer understands, how a promise would be delivered or what happens after someone responds. Asking everyone to evaluate the whole campaign gets noisy fast.
Send enough context for people to see the result you're after. Say which decisions are still open and which constraints are confirmed. Skip asking for fresh ideas about a requirement the team has no authority to change.
Each seat sees something different
During the discussion, ask what looks unclear or difficult from where each person sits. A service colleague may notice a promise the support team can't fulfill. A product colleague may spot a missing qualification, and a sales colleague may recognize language customers read differently.
Write the questions down before anyone debates solutions. Keep a factual correction apart from a preference, and an operational concern apart from a new creative direction. Each needs a different response.
The accountable owner decides what changes. The team should share what the conversation turned up and why it took or turned down each suggestion.
What to try this week
Choose the line in your current brief you're least sure about and invite one colleague whose work touches it. Send the context first, then record their questions before you answer any of them.