feat(desktop): WoT badges on search-result person cards

Extends the WoT trust indicator to the Search screen's person-picker
results, matching the badges already shown on note-card avatars.

- `UserSearchCard` (commons) gains an optional
  `badge: @Composable (BoxScope.() -> Unit)? = null` param, forwarded
  to its embedded `UserAvatar` (which has the slot from the WoT PR).
  Default null → no visual change for callers that don't opt in;
  Android search screens continue to render as before.
- `SearchResultsList` (desktopApp) inlines the score-lookup gates in
  a small `wotBadgeFor(pubkey)` helper and passes the badge lambda at
  both person-result call sites (main list + expandable overflow).

Same visibility rules as the note-card avatar badges:
score > 0, past the 2 s startup readiness gate, and pubkey not in
`LocalSpamExemptKeys` (self / already-followed).

commons/src/commonMain/kotlin/com/vitorpamplona/amethyst/commons/ui/components/UserSearchCard.kt

@@ -22,6 +22,7 @@ package com.vitorpamplona.amethyst.commons.ui.components
 
 import androidx.compose.foundation.clickable
 import androidx.compose.foundation.layout.Arrangement
+import androidx.compose.foundation.layout.BoxScope
 import androidx.compose.foundation.layout.Column
 import androidx.compose.foundation.layout.Row
 import androidx.compose.foundation.layout.fillMaxWidth
@@ -46,12 +47,17 @@ import org.jetbrains.compose.resources.stringResource
 /**
  * A card displaying user search result with avatar, name, and nip05/pubkey.
  * Shared between Android and Desktop search screens.
+ *
+ * @param badge Optional overlay drawn on top of the avatar (bottom-right
+ *   by convention). Used by Desktop for the WoT trust-score chip; Android
+ *   call sites leave it null. Forwarded to [UserAvatar].
  */
 @Composable
 fun UserSearchCard(
     user: User,
     onClick: () -> Unit,
     modifier: Modifier = Modifier,
+    badge: @Composable (BoxScope.() -> Unit)? = null,
 ) {
     Card(
         modifier =
@@ -73,6 +79,7 @@ fun UserSearchCard(
                 pictureUrl = user.profilePicture(),
                 size = 40.dp,
                 contentDescription = stringResource(Res.string.accessibility_user_avatar),
+                badge = badge,
             )
 
             Column(modifier = Modifier.weight(1f)) {

desktopApp/src/jvmMain/kotlin/com/vitorpamplona/amethyst/desktop/ui/search/SearchResultsList.kt

@@ -55,12 +55,16 @@ import androidx.compose.ui.unit.dp
 import com.vitorpamplona.amethyst.commons.icons.symbols.Icon
 import com.vitorpamplona.amethyst.commons.icons.symbols.MaterialSymbol
 import com.vitorpamplona.amethyst.commons.icons.symbols.MaterialSymbols
+import com.vitorpamplona.amethyst.commons.moderation.LocalSpamExemptKeys
 import com.vitorpamplona.amethyst.commons.search.AdvancedSearchBarState
 import com.vitorpamplona.amethyst.commons.search.SearchSortOrder
 import com.vitorpamplona.amethyst.commons.ui.components.UserSearchCard
+import com.vitorpamplona.amethyst.commons.wot.LocalWoTReady
+import com.vitorpamplona.amethyst.commons.wot.LocalWoTService
 import com.vitorpamplona.amethyst.desktop.cache.DesktopLocalCache
 import com.vitorpamplona.amethyst.desktop.ui.note.NoteCard
 import com.vitorpamplona.amethyst.desktop.ui.note.SpamCheckedNoteRender
+import com.vitorpamplona.amethyst.desktop.ui.note.WoTBadge
 import com.vitorpamplona.amethyst.desktop.ui.rememberDisplayData
 import com.vitorpamplona.quartz.nip23LongContent.LongTextNoteEvent
 
@@ -116,6 +120,7 @@ fun SearchResultsList(
                     UserSearchCard(
                         user = user,
                         onClick = { onNavigateToProfile(user.pubkeyHex) },
+                        badge = wotBadgeFor(user.pubkeyHex),
                     )
                 }
                 if (people.size > 5) {
@@ -126,6 +131,7 @@ fun SearchResultsList(
                             UserSearchCard(
                                 user = user,
                                 onClick = { onNavigateToProfile(user.pubkeyHex) },
+                                badge = wotBadgeFor(user.pubkeyHex),
                             )
                         }
                     }
@@ -286,6 +292,34 @@ fun SearchResultsList(
     }
 }
 
+/**
+ * Returns a WoT-badge lambda for the given pubkey, or null when the
+ * badge should be hidden. Same gates as [WoTBadgedAvatar]:
+ *   - WoT service is provided
+ *   - initial batch fetch has finished (or 2 s startup timeout fired)
+ *   - the pubkey is not exempt (self or already followed)
+ *   - the score is > 0
+ * Inlined here (rather than wrapped in a new composable) because it's
+ * only used at the two SearchResultsList person-result call sites.
+ */
+@Composable
+private fun wotBadgeFor(userHex: String): (@Composable androidx.compose.foundation.layout.BoxScope.() -> Unit)? {
+    val service = LocalWoTService.current
+    val ready = LocalWoTReady.current
+    val exempt = LocalSpamExemptKeys.current
+    val score =
+        if (service != null && ready && userHex !in exempt) {
+            service.scores[userHex] ?: 0
+        } else {
+            0
+        }
+    return if (score > 0) {
+        { WoTBadge(count = score, modifier = Modifier.align(Alignment.BottomEnd)) }
+    } else {
+        null
+    }
+}
+
 @Composable
 private fun SortableHeader(
     title: String,