fix: Approved FAQ not disappearing from pending list after filtering (#11909)

# Pull Request Template

## Description

This PR fixes an issue where approved FAQs were not removed from the
list when filtered by `pending` status.

**Fix:** Implemented real-time client-side filtering using a
`filteredResponses` computed property in `Index.vue`, updated all list
and selection logic to use it, and also hide the card toggle dropdown
button when the bulk action checkbox is selected.


## Type of change

- [x] Bug fix (non-breaking change which fixes an issue)

## How Has This Been Tested?

### Loom video

https://www.loom.com/share/216221a4910c44ebb1d49ab9e34c820c?sid=98c9c239-54eb-4bd9-b04d-aeccc55bfb3a

## Checklist:

- [x] My code follows the style guidelines of this project
- [x] I have performed a self-review of my code
- [ ] I have commented on my code, particularly in hard-to-understand
areas
- [ ] I have made corresponding changes to the documentation
- [x] My changes generate no new warnings
- [ ] I have added tests that prove my fix is effective or that my
feature works
- [x] New and existing unit tests pass locally with my changes
- [ ] Any dependent changes have been merged and published in downstream
modules

---------

Co-authored-by: Muhsin Keloth <muhsinkeramam@gmail.com>

app/javascript/dashboard/components-next/captain/assistant/ResponseCard.vue

@@ -55,6 +55,10 @@ const props = defineProps({
     type: Boolean,
     default: false,
   },
+  showMenu: {
+    type: Boolean,
+    default: true,
+  },
 });
 
 const emit = defineEmits(['action', 'navigate', 'select', 'hover']);
@@ -130,7 +134,7 @@ const handleDocumentableClick = () => {
       <span class="text-base text-n-slate-12 line-clamp-1">
         {{ question }}
       </span>
-      <div v-if="!compact" class="flex items-center gap-2">
+      <div v-if="!compact && showMenu" class="flex items-center gap-2">
         <Policy
           v-on-clickaway="() => toggleDropdown(false)"
           :permissions="['administrator']"