Let a PC be assigned a business unit, and a retired asset be found

The last two items from the run.

The PC detail page has always rendered a Business Unit row, and the API has
always accepted the field. Only the form had no control, so it could be read and
never set from the UI - a value that appeared the moment somebody set it through
the API and could not be reached otherwise. The form has the picker now, loaded
with listAll() rather than a capped page.

Global search excluded inactive assets, so a retired record existed, was
reachable by URL, and could not be found by anybody who did not already know
where it was - including whoever wanted to restore it, which the retire dialog
promises they can. Retired assets are searchable now.

That is only safe with the ordering, so it is part of the change rather than a
follow-up: somebody searching a machine number almost always wants the machine
still on the floor, so a retired match drops 60 points of relevance, sorts below
every live one, and carries a 'retired' flag the results page renders as a
badge. Indistinguishable retired results would be worse than none.

Four tests, verified by planting the isactive filter back: three fail.

Scope: product

plugins/computers/frontend/views/PCForm.vue

@@ -163,6 +163,27 @@
               override that.
             </small>
           </div>
+
+          <div class="form-group">
+            <!-- The PC detail page has always rendered a Business Unit row,
+                 and the API has always accepted the field - only the form had
+                 no control, so it could be seen and never set from the UI. -->
+            <label for="businessunitid">Business Unit</label>
+            <select
+              id="businessunitid"
+              v-model="form.businessunitid"
+              class="form-control"
+            >
+              <option value="">Select business unit...</option>
+              <option
+                v-for="bu in businessunits"
+                :key="bu.businessunitid"
+                :value="bu.businessunitid"
+              >
+                {{ bu.businessunit }}
+              </option>
+            </select>
+          </div>
         </div>
 
         <div class="form-row">
@@ -374,7 +395,7 @@
 import { ref, onMounted, computed, watch } from 'vue'
 import { useRoute, useRouter } from 'vue-router'
 import { computersApi, assetsApi, vendorsApi, locationsApi, modelsApi, operatingsystemsApi,
-  printersApi, relationshipTypesApi } from '@/api'
+  printersApi, relationshipTypesApi, businessunitsApi } from '@/api'
 import ShopFloorMap from '@/components/ShopFloorMap.vue'
 import { loadMapConfig, levelOptions, levelName, state as mapConfig }
   from '@/composables/mapConfig'
@@ -488,6 +509,7 @@ function setProtocolPort(protocolid, value) {
 const vendors = ref([])
 const models = ref([])
 const locations = ref([])
+const businessunits = ref([])
 const operatingsystems = ref([])
 
 
@@ -541,14 +563,16 @@ onMounted(async () => {
   try {
     // Load reference data
     // perpage 100 so dropdowns aren't truncated to the default 20-row page
-    const [ptRes, statusRes, vendorRes, allModels, locRes, osRes, protoRes] = await Promise.all([
+    const [ptRes, statusRes, vendorRes, allModels, locRes, osRes, protoRes,
+           allBusinessUnits] = await Promise.all([
       computersApi.types.list({ perpage: 100 }),
       assetsApi.statuses.list(),
-      vendorsApi.list({ perpage: 100 }),
+      vendorsApi.listAll(),
       modelsApi.listAll({ category: 'PC' }),  // backend caps perpage at 100; page through all
       locationsApi.listAll(),  // backend caps perpage at 100; page through all
       operatingsystemsApi.list({ perpage: 100 }),
       computersApi.protocols.list(),
+      businessunitsApi.listAll(),
       // Handles its own failure: a site without printers still gets a form.
     ])
 
@@ -559,6 +583,7 @@ onMounted(async () => {
     locations.value = locRes || []
     operatingsystems.value = osRes.data.data || []
     protocols.value = protoRes.data.data || []
+    businessunits.value = allBusinessUnits || []
 
     // Load PC if editing (asset-based shape: extension under pc.computer)
     if (isEdit.value) {
@@ -586,6 +611,7 @@ onMounted(async () => {
         // machine, and saving wrote it back as the PC's own - so an edit that
         // never touched location silently stopped the PC following its parent.
         locationid: pc.ownlocationid || '',
+        businessunitid: pc.businessunitid || '',
         osid: ext.osid || '',
         loggedinuser: ext.loggedinuser || '',
         azuredeviceid: ext.azuredeviceid || '',
@@ -664,6 +690,7 @@ async function savePC() {
       vendorid: form.value.vendorid || null,
       modelnumberid: form.value.modelnumberid || null,
       locationid: form.value.locationid || null,
+      businessunitid: form.value.businessunitid || null,
       osid: form.value.osid || null,
       loggedinuser: form.value.loggedinuser || null,
       azuredeviceid: form.value.azuredeviceid || null,