feat(integrations): add Google Health card to connect page (#119)

The OAuth backend (signal source, /connect and /callback routes, token
refresh, consent grant) was already complete. This adds the missing UI:
a Google Health card in /connect with Connect/Disconnect actions, and
broadens the "See my tip →" CTA to appear when any integration is
connected (not only Todoist).

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

apps/web/src/app/connect/page.tsx

@@ -51,6 +51,8 @@ function ConnectPageInner() {
   }
 
   const todoistConnected = isConnected('todoist');
+  const googleHealthConnected = isConnected('google-health');
+  const anyConnected = todoistConnected || googleHealthConnected;
 
   return (
     <main style={{ minHeight: '100vh', padding: '4rem 2rem', maxWidth: '480px', margin: '0 auto' }}>
@@ -85,7 +87,6 @@ function ConnectPageInner() {
         marginBottom: '1rem',
       }}>
         <div style={{ display: 'flex', alignItems: 'center', gap: '0.875rem' }}>
-          {/* Todoist logomark */}
           <svg width="28" height="28" viewBox="0 0 24 24" fill="none" aria-label="Todoist">
             <rect width="24" height="24" rx="6" fill="#DB4035"/>
             <path d="M6 8.5L11 13l7-7" stroke="#fff" strokeWidth="2" strokeLinecap="round" strokeLinejoin="round"/>
@@ -130,7 +131,65 @@ function ConnectPageInner() {
         )}
       </div>
 
-      {todoistConnected && (
+      {/* Google Health card */}
+      <div style={{
+        border: '1px solid rgba(255,255,255,0.1)',
+        borderRadius: '0.75rem',
+        padding: '1.25rem 1.5rem',
+        display: 'flex',
+        alignItems: 'center',
+        justifyContent: 'space-between',
+        marginBottom: '1rem',
+      }}>
+        <div style={{ display: 'flex', alignItems: 'center', gap: '0.875rem' }}>
+          <svg width="28" height="28" viewBox="0 0 24 24" fill="none" aria-label="Google Health">
+            <rect width="24" height="24" rx="6" fill="#EA4335"/>
+            <path d="M12 6.5c0-1.1.9-2 2-2s2 .9 2 2-.9 2-2 2-2-.9-2-2z" fill="#fff"/>
+            <path d="M8 10.5c0-1.1.9-2 2-2s2 .9 2 2-.9 2-2 2-2-.9-2-2z" fill="#fff" opacity=".7"/>
+            <path d="M12 14.5c0 2.2-1.8 4-4 4s-4-1.8-4-4 1.8-4 4-4 4 1.8 4 4z" fill="#fff" opacity=".4"/>
+            <path d="M13 13.5c.5-1 1.5-1.7 2.5-1.7 1.7 0 3 1.3 3 3s-1.3 3-3 3c-1 0-1.9-.5-2.5-1.3" stroke="#fff" strokeWidth="1.5" strokeLinecap="round" fill="none"/>
+          </svg>
+          <div>
+            <div style={{ fontWeight: 500, fontSize: '0.9rem' }}>Google Health</div>
+            <div style={{ color: 'var(--gray)', fontSize: '0.75rem', marginTop: '0.1rem' }}>
+              {googleHealthConnected ? 'Connected' : 'Steps, sleep & activity'}
+            </div>
+          </div>
+        </div>
+
+        {googleHealthConnected ? (
+          <button
+            onClick={() => handleDisconnect('google-health')}
+            disabled={disconnecting === 'google-health'}
+            style={{
+              background: 'transparent',
+              border: '1px solid rgba(255,255,255,0.15)',
+              color: 'var(--gray)',
+              borderRadius: '0.375rem',
+              padding: '0.375rem 0.875rem',
+              fontSize: '0.8rem',
+            }}
+          >
+            {disconnecting === 'google-health' ? '…' : 'Disconnect'}
+          </button>
+        ) : (
+          <a
+            href="/api/integrations/google-health/connect?redirectTo=/connect"
+            style={{
+              background: 'var(--white)',
+              color: 'var(--black)',
+              borderRadius: '0.375rem',
+              padding: '0.375rem 0.875rem',
+              fontSize: '0.8rem',
+              fontWeight: 500,
+            }}
+          >
+            Connect
+          </a>
+        )}
+      </div>
+
+      {anyConnected && (
         <div style={{ marginTop: '3rem' }}>
           <a
             href="/tip"