[staging] Deploy Paxos processor infra

[mpetrunic]

Summary

Deploy the Paxos processor infrastructure to staging.

Scope

• Stand up the Paxos processor infra in the staging environment.

Dependencies

• Blocked by: Paxos oracle (Implement Paxos oracle with hardcoded 1:1 USDC↔Paxos token rate #240).

Parent: sprintertech/sprinter-api#1161