Wrong node in inspector after drag&drop in tree and a delay

[Hilderin]

Tested versions

• Reproducible in 4.3 master (e6448ca)

System information

Test Godot v4.3.beta.mono (6a13fdc) - Windows 10.0.22631 - Vulkan (Forward+) - dedicated NVIDIA GeForce RTX 3060 (NVIDIA; 31.0.15.3742) - 11th Gen Intel(R) Core(TM) i5-11600KF @ 3.90GHz (12 Threads)

Issue description

When drag&dropping a node over a container, sometimes, the inspected node is still the container in the inspector.

I think it's a follow up of #91254

godot.windows.editor.dev.x86_64.mono_xxVPIJqE8o.mp4

Steps to reproduce

• Drag a node over the bottom of a container
• Wait for the highlight to appear on the destination node
• Drop the node
• In the inspector, the combo with the name correspond to the dragged node but the properties are the properties the container node. I think it should display the properties if the dragged node (the select node)

Minimal reproduction project (MRP)

test-godot-crash-drag-drop.zip

[akien-mga]

CC @KoBeWi @AeioMuch @ajreckof