feat(gateway,storage): mosaic gateway doctor with tier health JSON (FED-M1-06)

Adds `mosaic gateway doctor [--json] [--config <path>]` for tier-aware
health reporting (postgres, valkey, pgvector). JSON mode emits a single
parseable TierHealthReport for CI consumption; exit 1 on red.

Refactors gateway-internal tier probes into @mosaicstack/storage so the
same probe logic is reused by both the gateway boot path
(detectAndAssertTier — fail-fast on first failure) and the doctor
command (probeServiceHealth — non-throwing, runs all probes, returns
report). Old apps/gateway/src/bootstrap/tier-detector.* files removed.

A local TierConfig interface in tier-detection.ts captures the minimal
structural shape from MosaicConfig without importing @mosaicstack/config
(would create a cycle since config already depends on storage for
StorageConfig).

Tests:
- packages/storage/src/tier-detection.spec.ts — 22 tests (11 ported from
  gateway tier-detector, 11 new for probeServiceHealth + timing + branch
  coverage)
- packages/mosaic/src/commands/gateway-doctor.spec.ts — 12 tests for
  JSON contract, exit codes, output format, --config override

Refs #460

pnpm-lock.yaml

@@ -648,6 +648,9 @@ importers:
       commander:
         specifier: ^13.0.0
         version: 13.1.0
+      ioredis:
+        specifier: ^5.10.0
+        version: 5.10.0
       postgres:
         specifier: ^3.4.8
         version: 3.4.8
@@ -698,10 +701,10 @@ importers:
     dependencies:
       '@mariozechner/pi-agent-core':
         specifier: ^0.63.1
-        version: 0.63.2(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))(ws@8.20.0)(zod@3.25.76)
+        version: 0.63.2(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))(ws@8.20.0)(zod@4.3.6)
       '@mariozechner/pi-ai':
         specifier: ^0.63.1
-        version: 0.63.2(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))(ws@8.20.0)(zod@3.25.76)
+        version: 0.63.2(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))(ws@8.20.0)(zod@4.3.6)
       '@sinclair/typebox':
         specifier: ^0.34.41
         version: 0.34.48
@@ -7259,12 +7262,6 @@ snapshots:
       '@jridgewell/gen-mapping': 0.3.13
       '@jridgewell/trace-mapping': 0.3.31
 
-  '@anthropic-ai/sdk@0.73.0(zod@3.25.76)':
-    dependencies:
-      json-schema-to-ts: 3.1.1
-    optionalDependencies:
-      zod: 3.25.76
-
   '@anthropic-ai/sdk@0.73.0(zod@4.3.6)':
     dependencies:
       json-schema-to-ts: 3.1.1
@@ -8606,18 +8603,6 @@ snapshots:
       - ws
       - zod
 
-  '@mariozechner/pi-agent-core@0.63.2(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))(ws@8.20.0)(zod@3.25.76)':
-    dependencies:
-      '@mariozechner/pi-ai': 0.63.2(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))(ws@8.20.0)(zod@3.25.76)
-    transitivePeerDependencies:
-      - '@modelcontextprotocol/sdk'
-      - aws-crt
-      - bufferutil
-      - supports-color
-      - utf-8-validate
-      - ws
-      - zod
-
   '@mariozechner/pi-agent-core@0.63.2(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))(ws@8.20.0)(zod@4.3.6)':
     dependencies:
       '@mariozechner/pi-ai': 0.63.2(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))(ws@8.20.0)(zod@4.3.6)
@@ -8666,30 +8651,6 @@ snapshots:
       - ws
       - zod
 
-  '@mariozechner/pi-ai@0.63.2(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))(ws@8.20.0)(zod@3.25.76)':
-    dependencies:
-      '@anthropic-ai/sdk': 0.73.0(zod@3.25.76)
-      '@aws-sdk/client-bedrock-runtime': 3.1008.0
-      '@google/genai': 1.45.0(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))
-      '@mistralai/mistralai': 1.14.1
-      '@sinclair/typebox': 0.34.48
-      ajv: 8.18.0
-      ajv-formats: 3.0.1(ajv@8.18.0)
-      chalk: 5.6.2
-      openai: 6.26.0(ws@8.20.0)(zod@3.25.76)
-      partial-json: 0.1.7
-      proxy-agent: 6.5.0
-      undici: 7.24.3
-      zod-to-json-schema: 3.25.1(zod@3.25.76)
-    transitivePeerDependencies:
-      - '@modelcontextprotocol/sdk'
-      - aws-crt
-      - bufferutil
-      - supports-color
-      - utf-8-validate
-      - ws
-      - zod
-
   '@mariozechner/pi-ai@0.63.2(@modelcontextprotocol/sdk@1.28.0(zod@4.3.6))(ws@8.20.0)(zod@4.3.6)':
     dependencies:
       '@anthropic-ai/sdk': 0.73.0(zod@4.3.6)
@@ -13185,11 +13146,6 @@ snapshots:
     dependencies:
       mimic-function: 5.0.1
 
-  openai@6.26.0(ws@8.20.0)(zod@3.25.76):
-    optionalDependencies:
-      ws: 8.20.0
-      zod: 3.25.76
-
   openai@6.26.0(ws@8.20.0)(zod@4.3.6):
     optionalDependencies:
       ws: 8.20.0