fix(admissions): correct first_preference_offer_pct in dbt staging

The staging model was mapping EES column ``proportion_1stprefs_v_totaloffers``
straight onto ``first_preference_offer_pct``. That raw column is not a
percentage — it is a ratio of first-preference applications to total offers
(an oversubscription indicator, >1 means oversubscribed), so OLQH rendered
as "1%" when the true first-choice success rate is 27/42 = 64%.

The frontend display code is not at fault and is not patched here —
data-quality issues must be fixed at the source.

- stg_ees_admissions: compute ``first_preference_offer_pct`` as
  ``100 * number_1st_preference_offers / times_put_as_1st_preference`` —
  of families who listed this school first, the % that received an offer
  (0–100). Guard against divide-by-zero.
- stg_ees_admissions: expose the legitimate EES ratio as the new column
  ``oversubscription_ratio`` (1st-preference applications per place) for
  future use, clearly named.
- fact_admissions, FactAdmissions model, data_loader: propagate the new
  ``oversubscription_ratio`` column.
- SchoolAdmissions type: document both columns inline.
- buildSchoolSummary: reword the oversubscription clause so it reads
  sensibly across the whole 0–100 range (no more "just 64%").
- Hero chip subtitle: clearer phrasing "X% of first-choice applicants
  offered a place".

Requires a dbt run of stg_ees_admissions and fact_admissions on deploy
so the new column materialises.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

nextjs-app/lib/types.ts

@@ -134,7 +134,10 @@ export interface SchoolAdmissions {
   total_applications: number | null;
   first_preference_applications?: number | null;
   first_preference_offers?: number | null;
+  /** Of families who listed this school as 1st preference, the % that received an offer (0–100). */
   first_preference_offer_pct: number | null;
+  /** 1st-preference applications per place offered (>1 means oversubscribed). */
+  oversubscription_ratio?: number | null;
   oversubscribed: boolean | null;
 }
 

nextjs-app/lib/utils.ts

@@ -557,11 +557,12 @@ export function buildSchoolSummary(
   // Admissions clause
   if (admissions?.oversubscribed) {
     if (admissions.first_preference_offer_pct != null) {
+      const pct = Math.round(admissions.first_preference_offer_pct);
       parts.push(
-        `heavily oversubscribed — just ${Math.round(admissions.first_preference_offer_pct)}% of applicants get a first-choice offer`,
+        `oversubscribed — ${pct}% of first-choice applicants are offered a place`,
       );
     } else {
-      parts.push('heavily oversubscribed');
+      parts.push('oversubscribed');
     }
   } else if (admissions?.first_preference_offer_pct != null && admissions.first_preference_offer_pct >= 90) {
     parts.push('most families get their first-choice offer');