submit feedback not works when open multiple chats in the session

### Description

When I used multiple chats in one session, the feedback I added in the editor cannot submit to the chat

### Issue Details

Item|Value
---|---
Issue Category|Bug
Target|Agents Window
VS Code Version|Code 1.131.0 (e4c7e7b1d6d060162f4aa7f8225271b67ce1df75, 2026-07-28T10:51:25Z)
OS Version|Windows_NT x64 10.0.26200

System Info

Item|Value
---|---
VS Code Version|Code 1.131.0 (e4c7e7b1d6d060162f4aa7f8225271b67ce1df75, 2026-07-28T10:51:25Z)
OS Version|Windows_NT x64 10.0.26200
CPUs|AMD EPYC 7763 64-Core Processor (16 x 2445)
GPU Status|2d_canvas: unavailable_software
GPU0: VENDOR= 0x1414, DEVICE=0x008c [Microsoft Basic Render Driver], DRIVER_VENDOR=Microsoft, DRIVER_VERSION=10.0.26100.8875 *ACTIVE*
GPU1: VENDOR= 0x1414, DEVICE=0x008c [Microsoft Basic Render Driver], DRIVER_VERSION=10.0.26100.8875
GPU2: VENDOR= 0x1414, DEVICE=0x008c [Microsoft Basic Render Driver], DRIVER_VERSION=10.0.26100.8875
Machine model name:
Machine model version:
direct_rendering_display_compositor: disabled_off_ok
gpu_compositing: disabled_software
multiple_raster_threads: enabled_on
opengl: disabled_off
rasterization: disabled_software
raw_draw: disabled_off_ok
skia_graphite: disabled_off
trees_in_viz: disabled_off
video_decode: disabled_software
video_encode: disabled_software
webgl: unavailable_software
webgpu: unavailable_software
webnn: unavailable_software
Load (avg)|
Memory (System)|63.95GB (28.68GB free)
Process Argv|--file-uri file:///c%3A/Users/lchao/AppData/Roaming/Code/User/agent-sessions.code-workspace --crash-reporter-id 36382322-32be-40af-9dd0-14553b0b49f8
Screen Reader|no
VM|0%
User Agent|Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Code/1.131.0 Chrome/148.0.7778.280 Electron/42.7.0 Safari/537.36
Installation pure|true

Start by reproducing the issue in the Agents Window using multiple chats in one session, then add feedback in the editor and try to submit it. Compare the selected chat with the chat that receives the feedback; done means feedback submits successfully to the intended chat on the listed VS Code and Windows versions.

Written by the indexing model from the issue text.