feat: add live config profile refresh

- Standardize built-in tool users for shared writable profile mounts
- Mount canonical non-Git profile sources across compatible instances
- Report restart-required outcomes and guard active profile deletion
- Surface restart feedback in config profile editing

Quality gates: frontend build passed; backend py_compile and LSP passed.
Skipped: backend pytest/Ruff unavailable; Docker/manual checks not approved.

apps/api/src/schemas/config/config_profile.py

@@ -240,6 +240,12 @@ class ConfigProfileIncludeUpdate(BaseModel):
         return v
 
 
+class ConfigProfileRefreshOutcome(BaseModel):
+    instance_id: str
+    status: str
+    reason: str | None = None
+
+
 class ConfigProfileResponse(BaseModel):
     id: str
     user_id: str
@@ -256,6 +262,7 @@ class ConfigProfileResponse(BaseModel):
     includes: list[dict]
     created_at: str
     updated_at: str
+    refresh_outcomes: list[ConfigProfileRefreshOutcome] = Field(default_factory=list)
 
 
 class DefaultProfilesUpdate(BaseModel):