Wine and Wayland programs don't share clipboard

## Wayfire version
```
0.10.1-unknown (Jan 16 2026) branch unknown wlroots-0.19.2
```

## GPU / Driver
Irrelevant

## Describe the bug
Wine's clipboard is shared with X11 programs, but not Wayland ones.

## To Reproduce
Steps to reproduce the behavior:

1. Run wine
2. Copy/paste with X11 program
3. Copy/paste with Wayland program

## Expected behavior
I expected clipboard to work properly.