feat: add routing.run quota checker and related configurations (#412)

- Introduced a new quota checker type 'routing-run' in the PostgreSQL
schema.
- Added RoutingRunQuotaCheckerOptionsSchema for configuration options.
- Updated the ConfigService to handle the new quota checker type and its
options.
- Enhanced the quota scheduler to initialize and reload the routing-run
checker.
- Implemented tests to validate the new routing-run quota checker
functionality and its integration with the cooldown manager.
- Updated frontend components to support the new routing-run quota
configuration.

---------

Co-authored-by: Matt Cowger <matt@cowger.us>

Author: docloulou

packages/backend/drizzle/migrations_pg/0053_typical_zaladane.sql

@@ -0,0 +1 @@
+ALTER TYPE "public"."quota_checker_type" ADD VALUE 'routing-run' BEFORE 'gemini-cli';