feat: implement <ClientFilter /> to AI Bridge request logs (#22694)

Closes #22136

This pull-request implements a `<ClientFilter />` to our `Request Logs`
page for AI Bridge. This will allow the user to select a client which
they wish to filter against. Technically the backend is able to actually
filter against multiple clients at once however the frontend doesn't
currently have a nice way of supporting this (future improvement).

<img width="1447" height="831" alt="image"
src="https://github.com/user-attachments/assets/0be234e2-25f2-4a89-b971-d74817395da1"
/>

---------

Co-authored-by: Jeremy Ruppel <jeremy.ruppel@gmail.com>
Co-authored-by: Claude Sonnet 4.6 <noreply@anthropic.com>

codersdk/aibridge.go

@@ -324,3 +324,17 @@ func (c *Client) AIBridgeGetSessionThreads(ctx context.Context, sessionID string
 	var resp AIBridgeSessionThreadsResponse
 	return resp, json.NewDecoder(res.Body).Decode(&resp)
 }
+
+// AIBridgeListClients returns the distinct AI clients visible to the caller.
+func (c *Client) AIBridgeListClients(ctx context.Context) ([]string, error) {
+	res, err := c.Request(ctx, http.MethodGet, "/api/v2/aibridge/clients", nil)
+	if err != nil {
+		return nil, err
+	}
+	defer res.Body.Close()
+	if res.StatusCode != http.StatusOK {
+		return nil, ReadBodyAsError(res)
+	}
+	var clients []string
+	return clients, json.NewDecoder(res.Body).Decode(&clients)
+}