Fix SelectSearch for user source user and node explorer search. (baserow#4851)

* Fix a nuxt3 bug which prevented SelectSearch from working correctly.

* Lint fix

Author: picklepete

changelog/entries/unreleased/bug/4850_resolved_a_bug_which_prevented_user_source_users_from_being_.json

@@ -0,0 +1,9 @@
+{
+    "type": "bug",
+    "message": "Resolved a bug which prevented user source users from being searched.",
+    "issue_origin": "github",
+    "issue_number": 4850,
+    "domain": "builder",
+    "bullet_points": [],
+    "created_at": "2026-02-23"
+}

web-frontend/modules/core/components/SelectSearch.vue

@@ -2,12 +2,12 @@
   <div class="select__search">
     <i class="select__search-icon iconoir-search"></i>
     <input
-      :value="value"
+      :value="currentValue"
       type="text"
       class="select__search-input"
       v-bind="$attrs"
       :placeholder="placeholder || $t('action.search')"
-      @input="$emit('input', $event.target.value)"
+      @input="emitChange($event.target.value)"
     />
   </div>
 </template>
@@ -18,15 +18,29 @@ export default {
   props: {
     value: {
       type: String,
-      required: false,
-      default: null,
+      default: undefined,
+    },
+    modelValue: {
+      type: String,
+      default: undefined,
     },
     placeholder: {
       type: String,
       required: false,
       default: '',
     },
   },
-  emits: ['input'],
+  emits: ['input', 'update:modelValue'],
+  computed: {
+    currentValue() {
+      return this.modelValue !== undefined ? this.modelValue : this.value
+    },
+  },
+  methods: {
+    emitChange(newValue) {
+      this.$emit('input', newValue)
+      this.$emit('update:modelValue', newValue)
+    },
+  },
 }
 </script>