/**
 * Build the URL the browser should navigate to after a logout on this origin.
 *
 * If we're on a non-bridge-host product origin, detour through the bridge
 * host's `/auth/sso-clear` so its first-party (unpartitioned) localStorage
 * and bf-sso cookie are wiped too — otherwise the bridge-host fallback in
 * getSSORedirectUrl would relay the stale session back on the next visit
 * and the user would silently stay logged in.
 *
 * Returns null when no detour is needed (already on the bridge host, or
 * unable to resolve a bridge URL — caller should just stay/navigate on its
 * own origin).
 */
export declare function getCrossOriginLogoutUrl(): string | null;
export declare function hasLocalProfileSession(profileId: string | null): boolean;
export declare function getCookieSsoRelayUrl(bridgeUrl: string): string | null;
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