feat(admissions): add admissions guide page and homepage countdown strip

- New /admissions route with AdmissionsView client component
- Live countdowns (days until) to Primary/Secondary deadlines and Offer Days
- Step-by-step timelines for both tracks with highlighted milestone rows
- Tips section covering equal preference rule, late applications, waiting lists
- Homepage countdown strip (4 cards) between discovery chips and how-it-works
- Admissions nav link and footer link added

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

nextjs-app/components/HomeView.module.css

@@ -1173,3 +1173,156 @@
 .loadMoreButton {
   min-width: 160px;
 }
+
+/* =========================================================
+   Admissions Countdown Strip
+   ========================================================= */
+
+.admissionsStrip {
+  padding: 1.5rem 0 2rem;
+  border-top: 1px solid var(--border-color, #e5dfd5);
+}
+
+.stripHeader {
+  display: flex;
+  align-items: baseline;
+  justify-content: space-between;
+  margin-bottom: 1rem;
+  flex-wrap: wrap;
+  gap: 0.5rem;
+}
+
+.stripLabel {
+  font-size: 0.72rem;
+  font-weight: 700;
+  letter-spacing: 0.08em;
+  text-transform: uppercase;
+  color: var(--text-muted, #6d685f);
+}
+
+.stripCta {
+  font-size: 0.82rem;
+  color: var(--accent-teal, #2d7d7d);
+  font-weight: 600;
+  text-decoration: none;
+}
+
+.stripCta:hover {
+  text-decoration: underline;
+}
+
+.countdownRail {
+  display: grid;
+  grid-template-columns: repeat(4, 1fr);
+  gap: 0.75rem;
+}
+
+.countdownChip {
+  background: var(--bg-card, #fff);
+  border: 1px solid var(--border-color, #e5dfd5);
+  border-radius: 12px;
+  padding: 1rem 1.1rem 0.9rem;
+  box-shadow: 0 2px 8px rgba(26, 22, 18, 0.06);
+  display: flex;
+  flex-direction: column;
+  gap: 0.2rem;
+  position: relative;
+  overflow: hidden;
+}
+
+.countdownChip::before {
+  content: '';
+  position: absolute;
+  top: 0;
+  left: 0;
+  right: 0;
+  height: 3px;
+  border-radius: 12px 12px 0 0;
+}
+
+.countdownChipDeadline::before {
+  background: var(--accent-coral, #e07256);
+}
+
+.countdownChipOffer::before {
+  background: var(--accent-teal, #2d7d7d);
+}
+
+.countdownChipUrgent {
+  border-color: rgba(224, 114, 86, 0.4);
+  background: rgba(224, 114, 86, 0.04);
+}
+
+.chipTrack {
+  display: flex;
+  align-items: center;
+  gap: 0.3rem;
+  font-size: 0.6rem;
+  font-weight: 700;
+  letter-spacing: 0.1em;
+  text-transform: uppercase;
+  margin-bottom: 0.15rem;
+}
+
+.chipTrackDeadline {
+  color: var(--accent-coral, #e07256);
+}
+
+.chipTrackOffer {
+  color: var(--accent-teal, #2d7d7d);
+}
+
+.chipTrackDot {
+  width: 5px;
+  height: 5px;
+  border-radius: 50%;
+  background: currentColor;
+  flex-shrink: 0;
+}
+
+.chipDays {
+  font-family: var(--font-playfair), 'Playfair Display', serif;
+  font-size: 2.6rem;
+  font-weight: 700;
+  line-height: 1;
+  letter-spacing: -0.02em;
+}
+
+.countdownChipDeadline .chipDays,
+.countdownChipUrgent .chipDays {
+  color: var(--accent-coral-dark, #c45a3f);
+}
+
+.countdownChipOffer .chipDays {
+  color: var(--accent-teal, #2d7d7d);
+}
+
+.chipDaysUnit {
+  font-family: 'DM Sans', sans-serif;
+  font-size: 0.78rem;
+  font-weight: 500;
+  color: var(--text-muted, #6d685f);
+  margin-left: 0.2rem;
+  vertical-align: bottom;
+  line-height: 2;
+}
+
+.chipMilestone {
+  font-size: 0.85rem;
+  font-weight: 600;
+  color: var(--text-primary, #1a1612);
+  line-height: 1.25;
+  margin-top: 0.1rem;
+}
+
+.chipDate {
+  font-size: 0.75rem;
+  color: var(--text-muted, #6d685f);
+  margin-top: 0.05rem;
+}
+
+@media (max-width: 768px) {
+  .countdownRail {
+    grid-template-columns: repeat(2, 1fr);
+  }
+}