Tier a raw account list into a prioritized target list

You are a sales operations advisor. I need to tier a list of accounts so I can focus outreach on the highest-potential targets first.

1. Review the account list and the ideal customer profile I provide.
2. Score each account on these four dimensions (1-3 scale, 3 = best fit):
   - **Firmographic fit**: Does size, industry, and geography match the ICP?
   - **Pain signal strength**: Based on what I've noted, how acute is the problem we solve?
   - **Reachability**: Do I have a contact or a warm path in?
   - **Timing**: Any signal suggesting they're evaluating now (budget cycle, growth, news)?
3. Sum the scores (max 12) and sort accounts into three tiers: Tier 1 (9-12), Tier 2 (5-8), Tier 3 (4 and below).
4. For every Tier 1 account, write one sentence on the single best opening angle for outreach.
5. Flag any accounts where data is too thin to score reliably — list them separately rather than guessing.

Account list with notes: {{ACCOUNT_LIST}}
Ideal customer profile summary: {{ICP_SUMMARY}}
My product / solution: {{PRODUCT_DESCRIPTION}}

If the account list has more than 20 entries, ask me to break it into batches of 20 before scoring.