TACEO is a compute network and service platform designed for Private Shared State (PSS), enabling verifiable collaboration directly on encrypted data. The platform combines Multi-Party Computation (MPC) and collaborative SNARKs (coSNARKs) to allow multiple parties to perform computations on shared encrypted data without revealing the underlying information. The TACEO Stack consists of three main components: TACEO Network provides MPC and coSNARKs infrastructure for private shared state operations. TACEO Services offers foundational primitives including proof generation, Oblivious Pseudorandom Function (OPRF), and Oblivious Map (OMap) services. TACEO Tooling includes zkDSL extensions that enable developers to run Circom and Noir circuits in an MPC environment. The platform provides three core services: TACEO:OPRF generates persistent, unlinkable user identifiers without compromising secret keys. TACEO:OMap enables verifiable storage and retrieval of confidential shared state for private ledgers and registries. TACEO:Proof outsources complex ZK/coSNARK proof generation to the network for trustless execution of private computations. TACEO targets use cases across DeFi (confidential trading, dark pools), collaborative AI (multi-party machine learning on encrypted datasets), data ownership (credit scoring, attestations), and gaming (hidden moves with provable outcomes). The platform addresses the gap in private computation by enabling computations that maintain data confidentiality while providing cryptographic verification of correctness.