/* passkey — page styles (extracted from inline <style>). */
  /* ── Passkey — local styles. v5 tokens. `pk-` namespaced. ── */

  .pk-sec { padding: clamp(64px, 9vh, 96px) 0; background: var(--bg); border-bottom: 1px solid var(--hairline); }
  .pk-sec.subtle { background: var(--bg-subtle); }
  .pk-head { max-width: 760px; margin-bottom: var(--sp-12); }
  .pk-head .eyebrow { margin-bottom: var(--sp-5); }
  .pk-h2 { font-family: var(--font-sans); font-size: clamp(32px, 4vw, 48px); font-weight: var(--weight-semibold); line-height: 1.05; letter-spacing: -0.030em; color: var(--text-strong); margin-bottom: var(--sp-4); }
  .pk-h2 .mute { color: var(--g8); }
  .pk-lead { font-size: var(--text-md); line-height: 1.65; color: var(--g9); max-width: 56ch; }
  @keyframes pk-pulse { 0%,100% { opacity:1; } 50% { opacity:0.4; } }

  /* Hero */
  .pk-hero { padding: clamp(72px, 10vh, 112px) 0 clamp(48px, 8vh, 80px); background: var(--bg); border-bottom: 1px solid var(--hairline); position: relative; overflow: hidden; }
  .pk-hero::before { content: ''; position: absolute; inset: 0; background: radial-gradient(ellipse 46% 38% at 82% 18%, rgba(79,70,229,0.05) 0%, transparent 70%); pointer-events: none; }
  .pk-hero-inner { position: relative; z-index: 1; display: grid; grid-template-columns: 1fr 1fr; gap: clamp(48px, 5vw, 88px); align-items: center; }
  .pk-hero-left { display: flex; flex-direction: column; align-items: flex-start; }
  .pk-hero-left .eyebrow { margin-bottom: var(--sp-6); }
  .pk-h1 { font-family: var(--font-sans); font-size: clamp(40px, 5.4vw, 64px); font-weight: var(--weight-semibold); line-height: 1.02; letter-spacing: -0.034em; color: var(--text-strong); margin-bottom: var(--sp-5); }
  .pk-h1 .mute { color: var(--g8); display: block; }
  .pk-hero-lead { font-size: var(--text-md); line-height: 1.65; color: var(--g9); max-width: 50ch; margin-bottom: var(--sp-8); }
  .pk-actions { display: flex; gap: var(--sp-3); flex-wrap: wrap; }
  .pk-hero-right { display: flex; justify-content: center; }

  /* Hero — biometric passkey prompt */
  .pk-card { width: 100%; max-width: 440px; background: var(--bg); border: 1px solid var(--hairline); border-radius: var(--r-md); overflow: hidden; box-shadow: 0 18px 50px -18px rgba(14,14,12,0.16); }
  .pk-card-head { display: flex; align-items: center; gap: 11px; padding: 14px 18px; border-bottom: 1px solid var(--hairline); }
  .pk-card-logo { width: 32px; height: 32px; border-radius: 9px; background: linear-gradient(150deg,#5B52F0,#4F46E5); color: #fff; display: grid; place-items: center; font-family: var(--font-sans); font-size: 16px; font-weight: 700; letter-spacing: -0.04em; }
  .pk-card-app { font-family: var(--font-sans); font-size: 14px; font-weight: 600; color: var(--text-strong); }
  .pk-card-app small { display: block; font-family: var(--font-mono); font-size: 10px; color: var(--g7); font-weight: 400; margin-top: 2px; }
  .pk-stage { padding: 40px 24px 34px; display: flex; flex-direction: column; align-items: center; gap: 22px; text-align: center; }
  .pk-bio-wrap { position: relative; width: 120px; height: 120px; display: grid; place-items: center; }
  .pk-ring { position: absolute; inset: 18px; border-radius: 50%; border: 1.5px solid var(--accent-mid); animation: pk-ring 2.4s ease-out infinite; }
  .pk-ring.r2 { animation-delay: 0.8s; }
  .pk-ring.r3 { animation-delay: 1.6s; }
  @keyframes pk-ring { 0% { transform: scale(0.55); opacity: 0.85; } 100% { transform: scale(1.25); opacity: 0; } }
  .pk-core { width: 86px; height: 86px; border-radius: 50%; background: var(--accent-soft); border: 1px solid var(--accent-mid); display: grid; place-items: center; color: var(--accent); position: relative; z-index: 2; }
  .pk-core > i[data-lucide], .pk-core > svg.lucide { width: 40px; height: 40px; stroke-width: 1.5; animation: pk-bio 4s ease-in-out infinite; }
  @keyframes pk-bio { 0%,55% { opacity: 1; } 66%,92% { opacity: 0; } 100% { opacity: 1; } }
  .pk-chk { position: absolute; inset: 0; display: grid; place-items: center; background: #16A34A; color: #fff; border-radius: 50%; opacity: 0; animation: pk-verify 4s ease-in-out infinite; }
  @keyframes pk-verify { 0%,55% { opacity: 0; transform: scale(0.7); } 66%,92% { opacity: 1; transform: scale(1); } 100% { opacity: 0; transform: scale(0.7); } }
  .pk-title { font-family: var(--font-sans); font-size: 18px; font-weight: 600; letter-spacing: -0.015em; color: var(--text-strong); }
  .pk-methods { font-family: var(--font-mono); font-size: 11px; letter-spacing: 0.04em; color: var(--g7); }
  .pk-card-foot { display: flex; justify-content: space-between; padding: 11px 18px; background: #0F0F0F; font-family: var(--font-mono); font-size: 10.5px; color: rgba(255,255,255,0.6); }
  .pk-card-foot b { color: #86EFAC; font-weight: 600; }

  /* Lifecycle flow */
  .pk-flow { display: flex; align-items: stretch; gap: 0; }
  .pk-node { flex: 1; padding: var(--sp-6) var(--sp-5); border: 1px solid var(--hairline); border-radius: var(--r-md); background: var(--bg); display: flex; flex-direction: column; align-items: center; text-align: center; gap: 8px; }
  .pk-node.safety { background: var(--bg-subtle); border-style: dashed; }
  .pk-node-ic { width: 42px; height: 42px; border-radius: var(--r-sm); background: var(--accent-soft); border: 1px solid var(--accent-mid); display: grid; place-items: center; color: var(--accent); margin-bottom: 4px; }
  .pk-node-ic > i[data-lucide], .pk-node-ic > svg.lucide { width: 21px; height: 21px; stroke-width: 1.7; }
  .pk-node.safety .pk-node-ic { background: var(--s2); border-color: var(--hairline); color: var(--g8); }
  .pk-node-n { font-family: var(--font-mono); font-size: 10px; letter-spacing: 0.08em; text-transform: uppercase; color: var(--accent); font-weight: 600; }
  .pk-node.safety .pk-node-n { color: var(--g7); }
  .pk-node-h { font-family: var(--font-sans); font-size: 15px; font-weight: 600; letter-spacing: -0.01em; color: var(--text-strong); }
  .pk-node-p { font-size: 12.5px; line-height: 1.5; color: var(--g9); }
  .pk-arrow { display: flex; align-items: center; color: var(--g5); padding: 0 6px; flex-shrink: 0; }
  .pk-arrow svg { width: 20px; height: 20px; }

  /* Tile cards (why / built for) */
  .pk-tiles { display: grid; gap: var(--sp-5); }
  .pk-tiles.c3 { grid-template-columns: repeat(3, 1fr); }
  .pk-tiles.c4 { grid-template-columns: repeat(4, 1fr); }
  .pk-tile { border: 1px solid var(--hairline); border-radius: var(--r-md); padding: var(--sp-8); background: var(--bg); display: flex; flex-direction: column; }
  .pk-tile-ic { width: 44px; height: 44px; border-radius: var(--r-sm); background: var(--accent-soft); border: 1px solid var(--accent-mid); display: grid; place-items: center; color: var(--accent); margin-bottom: var(--sp-5); }
  .pk-tile-ic > i[data-lucide], .pk-tile-ic > svg.lucide { width: 22px; height: 22px; stroke-width: 1.6; }
  .pk-tile-h { font-family: var(--font-sans); font-size: 17px; font-weight: 600; letter-spacing: -0.012em; color: var(--text-strong); margin-bottom: var(--sp-2); }
  .pk-tile-p { font-size: 13.5px; line-height: 1.6; color: var(--g9); }

  @media (max-width: 960px) {
    .pk-hero-inner { grid-template-columns: 1fr; }
    .pk-flow { flex-direction: column; }
    .pk-arrow { transform: rotate(90deg); padding: 6px 0; align-self: center; }
    .pk-tiles.c3, .pk-tiles.c4 { grid-template-columns: 1fr; }
  }
  @media (max-width: 1080px) and (min-width: 961px) {
    .pk-tiles.c4 { grid-template-columns: repeat(2, 1fr); }
  }