✨(frontend) add client-side API call for participant removal

Implement frontend functionality to call backend endpoints for removing
participants from rooms through proper server-mediated requests.

src/frontend/src/features/rooms/api/removeParticipant.ts

@@ -0,0 +1,21 @@
+import { Participant } from 'livekit-client'
+import { useRoomData } from '../livekit/hooks/useRoomData'
+import { fetchApi } from '@/api/fetchApi'
+
+export const useRemoveParticipant = () => {
+  const data = useRoomData()
+
+  const removeParticipant = async (participant: Participant) => {
+    if (!data?.id) {
+      throw new Error('Room id is not available')
+    }
+
+    return fetchApi(`rooms/${data.id}/remove-participant/`, {
+      method: 'POST',
+      body: JSON.stringify({
+        participant_identity: participant.identity,
+      }),
+    })
+  }
+  return { removeParticipant }
+}