I cannot bind activation key to remapped keys

### Microsoft PowerToys version

0.100.0

### Installation method

PowerToys auto-update

### Area(s) with issue?

Command Palette

### Steps to reproduce

Remap Win key to F24 using Keyboard Manager of PowerToys
Open the activation key setting of Command Palette
Press Win

### ✔️ Expected Behavior

Command Palette get F24 as the activation key

### ❌ Actual Behavior

Command Palette get Win

### Upload Bug Report ZIP-file

[PowerToysReport_2026-06-19-14-47-57.zip](https://github.com/user-attachments/files/29147399/PowerToysReport_2026-06-19-14-47-57.zip)

### Additional Information

OS: Windows 11 Home (25H2) x86_64
Host: ROG Zephyrus G14 GA403UV_GA403UV (1.0)
Kernel: WIN32_NT 10.0.26200.8457
Uptime: 4 hours, 54 mins
Shell: PowerShell 7.6.2
Display (SDC419C): 2880x1800 @ 1.75x in 14", 120 Hz [Built-in, HDR]
WM: Desktop Window Manager 10.0.26100.8328
WM Theme: Custom - #1B375A (System: Light, Apps: Light)
Theme: Fluent
Icons: Recycle Bin
Font: Segoe UI (24pt) [Caption / Menu / Message / Status]
CPU: AMD Ryzen 9 8945HS (16) @ 5.25 GHz
GPU 1: AMD @ 2.80 GHz (417.30 MiB)
GPU 2: NVIDIA GeForce RTX 4060 Laptop GPU @ 3.10 GHz (7.77 GiB) [Discrete]
GPU 3: AMD Radeon 780M Graphics @ 2.80 GHz (417.30 MiB) [Integrated]
Memory: 24.38 GiB / 31.29 GiB (78%)

Battery (A32-K55): 100% [AC Connected]
Locale: zh-CN

### Other Software

_No response_

Start with the Command Palette activation key setting and reproduce the interaction after remapping Win to F24 in Keyboard Manager. Trace how the pressed key is recorded, and consider the issue complete when pressing Win records F24 as the activation key.

Written by the indexing model from the issue text.