Fix automation add TCA search icons (#28490)

Fix automation add TCA seach icons

src/panels/config/automation/add-automation-element/ha-automation-add-search.ts

@@ -339,12 +339,16 @@ export class HaAutomationAddSearch extends LitElement {
               ></ha-tree-indicator>
             `
           : nothing}
-        ${item.icon
+        ${(item as AutomationItemComboBoxItem).renderedIcon
+          ? html`<div slot="start">
+              ${(item as AutomationItemComboBoxItem).renderedIcon}
+            </div>`
+          : item.icon
             ? html`<ha-icon slot="start" .icon=${item.icon}></ha-icon>`
-          : item.icon_path
+            : item.icon_path || type === "area"
               ? html`<ha-svg-icon
                   slot="start"
-                .path=${item.icon_path}
+                  .path=${item.icon_path || mdiTextureBox}
                 ></ha-svg-icon>`
               : type === "entity" && (item as EntityComboBoxItem).stateObj
                 ? html`
@@ -368,11 +372,6 @@ export class HaAutomationAddSearch extends LitElement {
                         slot="start"
                         .floor=${(item as FloorComboBoxItem).floor!}
                       ></ha-floor-icon>`
-                  : type === "area"
-                    ? html`<ha-svg-icon
-                        slot="start"
-                        .path=${item.icon_path || mdiTextureBox}
-                      ></ha-svg-icon>`
                     : nothing}
         <span slot="headline">${item.primary}</span>
         ${item.secondary
@@ -792,7 +791,7 @@ export class HaAutomationAddSearch extends LitElement {
       id: key,
       primary: name,
       secondary: description,
-      iconPath,
+      icon_path: iconPath,
       renderedIcon: icon,
       type,
       search_labels: {