[Bug]: M500 corded mouse detected but middle mouse click not being recognized

### 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

0.8.3

### Operating system

macOS

### OS version & architecture

MacOS 26.6.2 (25G83)

### Device model

Logitech M500 corded (USB)

### How is the device connected?

Wired (USB cable)

### 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?

Checks:
- [x] I removed all Logitech plus / options software and revoked all permissions for Logitech software
- [x] I installed OpenLogi and configured my buttons
- [x] I rebooted the system

Behaviour:
1. the M500 corded mouse is recognized, but it shows more buttons than it actually has. (model M-U00007)
- DPI button does not exist on M500
- only 2 buttons exist on left side of mouse; not 3
2. Scrolling initially failed (but works after reboot; probably conflict with Logi plus or Logi options)
3. I setup the middle mouse button to launch expose or Mission Control, but the middle mouse button keeps opening links in a new tab instead.

### Steps to reproduce

1. install OpenLogi software
2. connect and configure mouse M500 corded to open expose / control center on macOS
3. reboot (not required)
4. try to click middle mouse button on MacOS
5. nothing happens

### Diagnostics report

```markdown
### OpenLogi Diagnostics

**App**
- OpenLogi (GUI): v0.8.3 (release)
- Agent: v0.8.3 (connected)
- IPC protocol: GUI 29 / agent 29
- Inventory: ready
- OS: macOS 26.6.2 (arm64)
- Locale: nl-NL (UI: follow system)
- Accessibility: granted · Input hook: installed
- Launch at login: yes · Menu bar: yes · Update check: on
- Running from: source build (dev)
- Config: schema 7 · 1 configured device(s) · thumbwheel 14

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

**Devices (1)**
- M500 — mouse (codename: M500)
- Connection: Wired (USB) · Online: yes · Battery: n/a
- Capabilities: buttons=yes, pointer=no, lighting=no
- DPI: unsupported
- Model: 0c069 (model-ids: c069/0000/0000, ext-model: 00)
- Transports: USB
- Render: ⚠️ none (silhouette) · direct
```

### `openlogi list` output

```text
(inventory read from the running agent)
M500 (—, vid=046d pid=c069)
└─ slot 255 ● M500 (mouse, wpid=?, battery=—)
model_ids=[c069,0000,0000] ext=00 serial=— unit_id=00000000 transports=usb
```

### Logs

```shell
(no agent reachable — reading hardware directly; macOS judges this process's Input Monitoring grant, not the agent's)
2026-09-01T13:27:12.302419Z DEBUG openlogi_hid::transport: logitech HID node name=M500 pid=c069 usage_page=0xff43 usage_id=0x0202 matched=true
2026-09-01T13:27:12.302777Z DEBUG openlogi_hid::transport: logitech HID node name=USB Laser Mouse pid=c069 usage_page=0x0001 usage_id=0x0002 matched=false
2026-09-01T13:27:12.302782Z DEBUG openlogi_hid::transport: logitech HID node name=USB Laser Mouse pid=c069 usage_page=0x0001 usage_id=0x0001 matched=false
2026-09-01T13:27:12.302813Z DEBUG openlogi_device::inventory: HID++ candidate interfaces count=1
2026-09-01T13:27:12.305790Z DEBUG openlogi_hid::transport: opened HID++ channel name=M500 vid=046d
2026-09-01T13:27:12.310374Z DEBUG openlogi_device::inventory::probe: BT-direct / wired device recognised os_name=M500 name=M500
M500 (—, vid=046d pid=c069)
└─ slot 255 ● M500 (mouse, wpid=?, battery=—)
model_ids=[c069,0000,0000] ext=00 serial=— unit_id=00000000 transports=usb
```

### macOS permissions (if applicable)

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

Start by reproducing the issue with the wired M500 on macOS, then inspect the logged openlogi_hid::transport and openlogi_device::inventory::probe paths. Compare the reported button capabilities with the physical device and verify the configured middle-button action through the GUI. Done means the M500 exposes its actual controls and the middle click performs the selected action.

Written by the indexing model from the issue text.