## Problem
When sidebar is positioned on the right, the properties panel also
appears on the right, causing both panels to compete for space and
creating a poor layout.
## Solution
Properties panel now dynamically positions itself opposite to the
sidebar:
- Sidebar left → Properties panel right (default)
- Sidebar right → Properties panel left
## Changes
- Modified `LiteGraphCanvasSplitterOverlay.vue` to conditionally render
properties panel based on sidebar location
- Updated splitter refresh key to recalculate layout when sidebar
position changes
- Added dynamic close button icon in `RightSidePanel.vue` that points in
the correct direction
## Testing
- Created E2E tests to verify positioning behavior
- Manually verified visual behavior in browser
┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-7647-feat-position-properties-panel-opposite-to-sidebar-2ce6d73d365081049683e74c8d03dbdd)
by [Unito](https://www.unito.io)