[Bug]: GUI does not look like the screenshot on the website

### 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

0.7.4

### Operating system

Linux

### OS version & architecture

Arch Linux

### Device model

G402 Hyperion Fury

### How is the device connected?

Wired (USB cable)

### Affected area(s)

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

### What happened?

- The GUI is missing the entire button remapping screen.
- Clicking on `+ Add` under Presets under DPI does nothing.
- The mouse's lights cannot be controlled.

### Steps to reproduce

1. Install [openlogi-bin](https://aur.archlinux.org/packages/openlogi-bin) from the AUR.
2. Start the service.
3. Launch the GUI
4. Find missing button remapping section

### Diagnostics report

```markdown
### OpenLogi Diagnostics

**App**
- OpenLogi (GUI): v0.7.4 (release)
- Agent: v0.7.4 (connected)
- IPC protocol: GUI 23 / agent 23
- Inventory: ready
- OS: Linux (x86_64)
- Locale: en-US (UI: follow system)
- Accessibility: granted · Input hook: installed
- Launch at login: no · Menu bar: yes · Update check: off
- 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: ~/.local/share/openlogi/assets · Bundle assets: absent

**Devices (1)**
- G402 Hyperion Fury FPS Gaming Mouse — mouse (codename: G402 Hyperion Fury FPS Gaming Mouse)
- Connection: unknown · Online: yes · Battery: n/a
- Capabilities: buttons=no, pointer=yes, lighting=no
- DPI: 840 dpi (range 252–4032, 46 steps)
- Model: 00000 (model-ids: 0000/0000/0000, ext-model: 00)
- Transports: none
- Render: ⚠️ none (silhouette) · direct
```

### `openlogi list` output

```text
❯ openlogi list
Logitech Gaming Mouse G402 (—, vid=046d pid=c07e)
└─ slot 255 ● G402 Hyperion Fury FPS Gaming Mouse (mouse, wpid=?, battery=—)
model_ids=[0000,0000,0000] ext=00 serial=— unit_id=00000000 transports=—
```

### Logs

```shell
❯ OPENLOGI_LOG=debug openlogi list
2026-08-22T09:52:19.708652Z DEBUG openlogi_hid::channel::transport: logitech HID node name=Logitech Gaming Mouse G402 pid=c07e usage_page=0x0001 usage_id=0x0006 matched=false
2026-08-22T09:52:19.708696Z DEBUG openlogi_hid::channel::transport: logitech HID node name=Logitech Gaming Mouse G402 pid=c07e usage_page=0x000c usage_id=0x0001 matched=false
2026-08-22T09:52:19.708711Z DEBUG openlogi_hid::channel::transport: logitech HID node name=Logitech Gaming Mouse G402 pid=c07e usage_page=0x0001 usage_id=0x0080 matched=false
2026-08-22T09:52:19.708724Z DEBUG openlogi_hid::channel::transport: logitech HID node name=Logitech Gaming Mouse G402 pid=c07e usage_page=0xff00 usage_id=0x0001 matched=false
2026-08-22T09:52:19.708740Z DEBUG openlogi_hid::channel::transport: logitech HID node name=Logitech Gaming Mouse G402 pid=c07e usage_page=0xff00 usage_id=0x0002 matched=true
2026-08-22T09:52:19.708756Z DEBUG openlogi_hid::channel::transport: logitech HID node name=Logitech Gaming Mouse G402 pid=c07e usage_page=0x0001 usage_id=0x0002 matched=false
2026-08-22T09:52:19.708774Z DEBUG openlogi_hid::channel::transport: logitech HID node name=Logitech Gaming Mouse G402 pid=c07e usage_page=0x0001 usage_id=0x0001 matched=false
2026-08-22T09:52:19.710929Z DEBUG openlogi_hid::inventory: HID++ candidate interfaces count=1
2026-08-22T09:52:19.711417Z DEBUG openlogi_hid::channel::transport: opened HID++ channel name=Logitech Gaming Mouse G402 vid=046d
2026-08-22T09:52:19.811035Z DEBUG openlogi_hid::inventory::probe: BT-direct / wired device recognised os_name=Logitech Gaming Mouse G402 name=G402 Hyperion Fury FPS Gaming Mouse
Logitech Gaming Mouse G402 (—, vid=046d pid=c07e)
└─ slot 255 ● G402 Hyperion Fury FPS Gaming Mouse (mouse, wpid=?, battery=—)
model_ids=[0000,0000,0000] ext=00 serial=— unit_id=00000000 transports=—

```

(GUI Log was too large: [openlogi.log](https://github.com/user-attachments/files/31331248/openlogi.log))

### 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 GUI issue with the G402 Hyperion Fury on Arch Linux, then compare the GUI with the diagnostics report and `openlogi list` output. Trace the GUI behavior for button remapping, DPI presets, per-application profiles, and lighting. Done means the affected controls match the supported device capabilities and the `+ Add` action responds appropriately.

Written by the indexing model from the issue text.