feat(tools): converge two-tier Quick/Pro selector onto .no fork

Port the dobetterlegal-tools two-tier quality stack to dobetternorge.no:
QUALITY_TIERS registry + resolveTier (ToolModels), dbnToolsResolveToolRun
(bootstrap), tier read+charge in the 6 analytical endpoints, Quick/Pro
UI + payload.tier on the 6 tool pages/JS, and the bounded
corpusContextForSummarize RAG fix (per-passage trim + total budget +
reranker_enabled). Back-compat: requests without `tier` keep legacy
engine behavior.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

api/deep-research.php

@@ -65,8 +65,9 @@ try {
         throw new DbnToolsHttpException('advocate_role is too long.', 422, 'advocate_role_too_long');
     }
     $chargeTool = $advocateRole !== '' ? 'advocate' : 'deep-research';
-    $ftUid = dbnToolsFreeTierCheck($chargeTool);
-    $engine = ToolModels::engineForUser($ftUid, (string)($input['engine'] ?? 'azure_mini'));
+    $run    = dbnToolsResolveToolRun($chargeTool, $input);
+    $ftUid  = $run['ftUid'];
+    $engine = $run['engine'];
     $priorContext        = is_array($input['prior_context'] ?? null) ? $input['prior_context'] : null;
     $branchNotes        = mb_substr(trim((string)($input['branch_notes'] ?? '')), 0, 1000, 'UTF-8');
     $subQsOverride      = is_array($input['sub_questions_override'] ?? null) ? $input['sub_questions_override'] : [];
@@ -160,7 +161,9 @@ try {
         'advocate_role' => $advocateRole !== '' ? $advocateRole : null,
     ]);
 
-    $ftRemaining = dbnToolsFreeTierDeduct($ftUid, $chargeTool);
+    $ftRemaining = $run['credits'] === null
+        ? dbnToolsFreeTierDeduct($ftUid, $chargeTool)
+        : dbnToolsFreeTierDeductAmount($ftUid, $chargeTool, $run['credits'], $run['metadata']);
     if ($ftRemaining >= 0) {
         $result['balance'] = $ftRemaining;
     }