The Rename button does not initiate renaming when pressing right click rename while another GameObject is being renamed in Hierarchy V2

Steps to reproduce:

1. Create a new Unity project using the Universal 3D template
2. Enable Hierarchy V2 (Unity > Settings > General > Use new Hierarchy window)
3. Right click any GameObject and select "Rename"
4. While the rename is initiated, right click another GameObject and select "Rename"
5. Observe the Hierarchy V2 window

Actual results: The GameObject is selected but renaming is not initiated

Expected results: Renaming is initiated on the GameObject

Reproducible with versions: 6000.3.0a6

Tested on (OS): macOS Silicon Sequoia 15.6

Notes:

• Does not reproduce on the original/old Hierarchy window