[Feature]: Configure Device internal presets for DPI

### Pre-flight checklist

- [x] I searched existing issues and the [Roadmap](https://github.com/AprilNEA/OpenLogi#roadmap), and this isn't already tracked.

### Problem / motivation

Logitech G Hub has a feature to write DPI Profiles into internal storage on the device. That is a must have for me.
G Hub is a mess, but I can not replace it until I find a software that has this ferature.

### Proposed solution

Implement the feature to write DPI profiles into internal storage of the mouse.

### Alternatives considered

_No response_

### Related area(s)

- [x] GUI
- [ ] CLI
- [ ] Button actions / remapping
- [ ] DPI
- [ ] SmartShift
- [ ] Per-application profiles
- [ ] Configuration (TOML)
- [ ] Auto-update
- [ ] Other

### Additional context

_No response_

The issue names no files, tests, or implementation entry points; start by locating the GUI's device-configuration code and the existing HID++ DPI handling. Determine which Logitech devices and internal preset format are supported, then define completion criteria and tests for writing and verifying profiles.

Written by the indexing model from the issue text.