Implement economic config round-trip test and enhance department handling

- Added a test to ensure correct round-tripping of default distribution department config value through economic config updates.
- Improved department handling by adding fallback logic to use the default economic distribution department id when a customer's department id is missing.
- Enhanced weather API routes to fetch, cache, and return detailed employee contributions per department for a given time slot.

services/nginx/app/routes/authRoute.php

@@ -825,6 +825,7 @@ class authRoute
             [
                 'economic' => [
                     'transaction_draft_customer_number' => (new economic())->getTransactionDraftCustomerNumber(),
+                    'default_distribution_department_id' => (new economic())->getDefaultDistributionDepartmentId(),
                 ],
             ]
         );