Adds base manifests and au-syd1 overlay for Paperclip (AI agent
orchestration platform), following the litellm deployment pattern.
Updates aitooling ApplicationSet to include the paperclip path.
Closes#99
Deploys LiteLLM proxy with CNPG PostgreSQL (3-instance HA), PgBouncer
pooler, and Redis cache. Introduces a dedicated aitooling AppProject and
ApplicationSet to keep AI tooling services separate from platform infra.
Reviewed-on: #94
unkinben