Which CAPWAP deployment model provides local controller management suitable for small branches?

Mobility Express is the correct answer because it integrates the wireless LAN controller (WLC) functionality directly into an access point (AP), making it ideal for small branch offices. This allows the AP to manage other APs and clients locally, eliminating the need for a separate hardware WLC. Local mode is a CAPWAP mode where the AP tunnels all traffic to a central WLC, which isn't local management. Autonomous APs do not use CAPWAP and manage themselves individually, without controlling other APs. SD-Access wireless is a fabric-based solution for larger, more complex deployments, not small branches.