Function complete_provider_with_tools 

pub async fn complete_provider_with_tools<F>(
    handler: Arc<dyn ExtensionHandler>,
    params: ProviderCompleteParams,
    registry: &ToolRegistry,
    session_tools: &SessionToolSet,
    hook_bus: &Arc<HookBus>,
    context_factory: F,
    max_tool_output: usize,
    max_iterations: usize,
    tools_requested: &mut u32,
) -> Result<ProviderCompleteResult, String>
where
    F: FnMut() -> ToolContext,

Interior extension-provider tool loop. session_tools is built ONCE by the caller (under the same registry read guard passed as registry) and reused for every tool call in every interior round — the registry stays read-locked for the whole outer provider call, so no catalog drift is possible inside this loop and one set snapshot governs all rounds.