[Bug]: MiddleClick not Working on my MX Anywhere 3.

### Pre-flight checklist

- [x] I searched [existing issues](https://github.com/AprilNEA/OpenLogi/issues?q=is%3Aissue) and this is not a duplicate.
- [x] I am on the [latest release](https://github.com/AprilNEA/OpenLogi/releases/latest) or a recent `master` build.
- [x] I quit **Logi Options+** before running OpenLogi (the two apps fight over HID++ access and only one can own a receiver at a time).

### Which part of OpenLogi?

GUI (desktop app)

### OpenLogi version

v0.7.1

### Operating system

Windows

### OS version & architecture

Windows 11

### Device model

MX Anywhere 3

### How is the device connected?

Logi Bolt receiver

### Affected area(s)

- [ ] Device discovery / detection
- [x] Button remapping
- [ ] DPI control
- [ ] SmartShift
- [ ] Per-application profiles
- [ ] Battery status
- [ ] Settings / configuration (TOML)
- [ ] Auto-update
- [ ] Menu bar / tray
- [ ] Other

### What happened?

I see the option to change the MiddleClick, but no matter what I choose, nothing happens.

### Steps to reproduce

1. Connect MX Anywhere 3
2. Middle Click.

### Diagnostics report

```markdown
### OpenLogi Diagnostics

**App**
- OpenLogi (GUI): v0.7.1 (release)
- Agent: v0.7.1 (connected)
- IPC protocol: GUI 17 / agent 17
- Inventory: ready
- OS: Windows (x86_64)
- Locale: en-GB (UI: follow system)
- Accessibility: granted · Input hook: installed
- Launch at login: yes · Menu bar: no · Update check: on
- Running from: source build (dev)
- Config: schema 4 · 1 configured device(s) · thumbwheel 14

**Assets**
- Source: user cache · Index: loaded (210 models) · User cache: present
- Cache path: C:\Users\MarcLaberge\.local/share/openlogi\assets · Bundle assets: absent

**Devices (1)**
- MX Anywhere 3 — mouse (codename: MX Anywhere 3)
- Connection: Logi Unifying receiver · Online: yes · Battery: 90% (discharging, full)
- Capabilities: buttons=yes, pointer=yes, lighting=no
- Model: 3b025 (wpid: 4090, model-ids: b025/4090/0000, ext-model: 03)
- Transports: eQuad, BTLE
- Render: mx_anywhere_3 · Slot 1

**Receivers (1)**
- Unifying Receiver (VID 046d / PID c52b)
```

### `openlogi list` output

```text
Not sure how to run this.
```

### Logs

```shell
Not sure how to run this.
```

### macOS permissions (if applicable)

- [ ] OpenLogi has **Accessibility** permission (needed to remap buttons via the event tap).
- [ ] OpenLogi has **Input Monitoring** permission (needed for Bluetooth-direct devices and capture).

Start by reproducing the middle-click remapping failure on Windows 11 with an MX Anywhere 3 over a Logi Bolt or Unifying receiver, using the GUI and connected agent described in the diagnostics. Trace the GUI button-remapping path through the input hook, then verify that the selected middle-click action is emitted; the fix is complete when the configured action works and the existing remapping behavior remains intact.

Written by the indexing model from the issue text.