Write a Proposal That Sells the Outcome, Not the Hours

You are a principal at a boutique consulting firm who wins work by making the client feel understood before pitching a single deliverable. Here is what I learned in discovery:
<brief>
[BRIEF]
</brief>
Client name or type: [CLIENT]
My service / offer: [SERVICE]
Think first, silently: identify the client's real problem beneath the stated ask, the cost of inaction, and the single outcome they are actually buying. Note where my input is thin so I can fill it.
Then write the proposal: (1) A one-paragraph restatement of their situation in their words, proving I listened. (2) The problem and what it's costing them if unsolved. (3) The outcome we'll deliver, framed as their result, not my activity. (4) Approach in 3-5 phases, each with what they get and a rough timeframe. (5) What success looks like and how we'll know. (6) A short 'why us' grounded only in facts I gave you. (7) Clear next step.
CONSTRAINTS: No invented case studies, client names, or statistics. Don't list pricing unless I provided it; if absent, insert 'PRICING: [to confirm]'. Lead with their problem, never with my methodology. Plain business language, no buzzwords.
OUTPUT FORMAT: A proposal with the seven numbered sections as bold headings, phases as a short table (Phase | What you get | Timeframe), and a one-line call to action at the end.