/**
 * Generates a base-ui id for a label component and registers it with the
 * parent root via `setLabelId`. Clears the registration on cleanup so the
 * parent's `aria-labelledby` empties when the label unmounts. Mirrors Base UI
 * React's `useRegisteredLabelId` hook (`packages/react/src/utils/useRegisteredLabelId.ts`).
 *
 * Solid 2 notes:
 *
 * - The optional `idOverride` is expected to be read from `props.id` by the
 *   caller. Callers should wrap the read in `untrack` themselves, or pass an
 *   accessor if they want the id to follow prop changes. In practice, id
 *   overrides are stable per-mount (React's hook keys the effect on the
 *   resolved id, but the generated id is stable anyway), so we read the
 *   override once during setup.
 * - `setLabelId` is called synchronously during setup so the id is available
 *   on the very first render pass (the parent's `aria-labelledby` binding
 *   picks it up via its own reactive read). The parent's label-id signal is
 *   expected to opt into `ownedWrite` so this setup-time write is allowed in
 *   owned scope.
 * - Cleanup calls `setLabelId(undefined)` so a later-mounted label doesn't
 *   see a stale id, and so the DOM attribute clears cleanly on unmount.
 */
export declare function useRegisteredLabelId(idOverride: string | undefined, setLabelId: (id: string | undefined) => void): string;
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