Describe the bug
When moving the window between monitors with different scaling settings causes the window’s size to become erratic. The window appears to resize incorrectly, making it difficult to move or position properly. Notably, dragging the window by its right half seems to offer slightly more stability, but this is not a reliable workaround.

Steps To Reproduce

1. Run Tao’s window example directly (do not use Tauri).
2. Ensure you have at least two monitors with different scaling settings (for example, one monitor at 100% scaling and another at 150% scaling).
3. Drag the window from one monitor to the other.
4. Observe how the window’s size becomes inconsistent or “bugged” upon moving between the monitors.

Expected behavior
The window should either maintain its size or adjust appropriately when transitioning between monitors with different scaling settings. There should be no erratic resizing behavior during the move.

Screenshots
A video demonstrating the issue is attached:

Platform and Versions (please complete the following information):

• OS: Windows
• Rustc: 1.84.1

Additional context
I have observed this bug across various Tauri-based apps and believe it is rooted in Tao’s window management implementation. The issue persists in both Tauri 1.0 and 2.0 environments. I attempted to investigate the underlying cause, but the mechanism seems more complex than initially expected. Any insights or potential workarounds would be greatly appreciated. Additionally, I found a couple of related issues, but neither appears to be actively tracked:

• [bug] when multiple monitors have different scaling settings, the window cannot switch correctly between monitors tauri#10263
• [macOS] outer_position and set_outer_position may work unexpectedly with multiple monitors in different DPI #816

I couldn't find an existing issue in Tao's repository that directly addresses this bug, so I created this one. However, if this is a duplicate, please feel free to close it.