Hot Reload missing in 2.151.28

Type: Bug

## Issue Description ##
Since updating to 2.151.28 hot reload seems to have gone missing. Nothing shows in the ".NET Hot Reload" output window other than "Last Edit and Continue engine removed; ending the debugger session.".

The hot reload icon in the status bar is missing also.

Switching back to 2.148.23 bring it all back.

## Steps to Reproduce ##
Install 2.151.28

## Expected Behavior ##
Hot Realod icon and logging shows, and hot reload is enabled.

## Actual Behavior ##
No icon or logging, or any actual hot reload.

Extension version: 2.151.28
VS Code version: Code 1.136.1 (a44adf7f53e00964ab890f9f8758a334f1fc15bc, 2026-09-03T05:06:41Z)
OS version: Windows_NT x64 10.0.26220
Modes:

System Info

|Item|Value|
|---|---|
|CPUs|Intel(R) Core(TM) i7-10850H CPU @ 2.70GHz (12 x 2712)|
|GPU Status|2d_canvas: enabled
GPU0: VENDOR= 0x8086, DEVICE=0x9bc4 [Intel(R) UHD Graphics], DRIVER_VENDOR=Intel, DRIVER_VERSION=31.0.101.2140 *ACTIVE*
GPU1: VENDOR= 0x10de, DEVICE=0x1fb8 [NVIDIA Quadro T2000 with Max-Q Design], DRIVER_VERSION=32.0.15.9595
GPU2: VENDOR= 0x1414, DEVICE=0x008c [Microsoft Basic Render Driver], DRIVER_VERSION=10.0.26100.9223
Machine model name:
Machine model version:
direct_rendering_display_compositor: disabled_off_ok
gpu_compositing: enabled
multiple_raster_threads: enabled_on
opengl: enabled_on
rasterization: enabled
raw_draw: disabled_off_ok
skia_graphite: disabled_off
trees_in_viz: disabled_off
video_decode: enabled
video_encode: enabled
webgl: enabled
webgpu: enabled
webnn: disabled_off|
|Load (avg)|undefined|
|Memory (System)|31.78GB (4.77GB free)|
|Process Argv|--crash-reporter-id 415ab69e-4a8e-44d5-966e-12560b8b14e3|
|Screen Reader|no|
|VM|0%|

A/B Experiments

```
vsliv368cf:30146710
pythonvspyt551cf:31249601
binariesv615:30325510
nativeloc1:31344060
dwcopilot:31170013
dwoutputs:31242946
copilot_t_ci:31333650
e5gg6876:31282496
pythonrdcb7:31342333
6518g693:31463988
aj953862:31281341
82j33506:31327384
envsactivate1:31551504
478i5457:31544283
cloudbuttont:31379625
3efgi100_wstrepl:31403338
ddidtcf:31399634
ec5jj548:31422691
diffpatch-lysithea-24-production:31579162
cp_cls_t_966_ss:31526232
4je02754:31466945
c3h7c220:31478652
ge8j1254_inline_auto_hint_haiku:31490510
cp_cls_c_1081:31454833
conptydll_true:31498968
e9c30283:31461165
46204921:31447328
ei9d7968:31496641
chat:31457767
8hig5102:31480529
89g7j272:31518289
i2gc6536:31499202
52612955:31516516
ddid_c:31478207
hmra_i5g22:31518061
7df3h592:31512476
cp_cls_t_1082:31535311
logging_enabled_new:31498466
db5d2638:31499441
jb_cp_cls_t_632:31543129
56dj4588:31512888
32d76977:31512328
ha629193:31508444
jh5f2457_c:31540921
jbcp_cls_pctr_t:31531130
cp_intellij_t_nes:31548657
jf4hg949:31526829
ahp-both-windows:31556933
ihg5j128:31534457
9gg7f176:31542112
enable_editor_pane_layout:31569726
allow-none:31555437
ac562147:31564510
c7c27ce7:31554789
1h923230:31564177
1532g621_copy:31554320
treatment-23-1:31555779
unuse_dynamic_mcp:31555281
0d8dfbc3:31570291
a1hcc538:31559322
nemo-v2:31565334
0c1h4866:31566224
vrbsty_tr:31561058
session-mark-done:31558131
5b8j3302:31564601
mangle-name-control:31572633
multiv2:31574985
2bfb8b39:31576696
permission_prompt_treatment:1332566
ccr_pr_nudge_control:1319470
vsc_wsm_c:1340633
jidc7660:1370295
auto_mode_control:1367906
1g5a5742:1379227

```

Reproduce the missing hot reload icon and .NET Hot Reload output on extension version 2.151.28, then compare the behavior with version 2.148.23. Trace the extension's hot reload and debugger-session entry points to identify the regression; done means the icon, logging, and hot reload work again on the reported VS Code and Windows setup.

Written by the indexing model from the issue text.