New InputSystem does not register keyboard presses when build is embedded in Forms Window

Reproduction steps:

1. Open the user’s attached project “SlimEmbeddedUnityInputSystemTest”
2. Build the project
3. Download “EmbeddedUnityInputSystemTest.zip” and extract it
4. Go to \\IN-6354_EmbeddedUnityInputSystemTest\\UnityEmbeddedInWindowsForms\\UnityEmbeddedInWindowsForms
   UnityBuild
5. Delete the “UnityBuild” folder’s contents and place built Player files
6. Open \\IN-6354_EmbeddedUnityInputSystemTest\\UnityEmbeddedInWindowsForms
   UnityEmbeddedInWindowsForms.sln"
7. Press “Start”
8. Click the "Start and embed” button in the Windows form
9. Wait for the Player to load and press random keyboard buttons

Expected result: Both new and old Input System receive the same keyboard input
Actual result: New Input System doesn’t receive the keyboard input

Reproducible with: 2020.3.37f1, 2021.3.6f1, 2022.1.10f1, 2022.2.0b2, 2023.1.0a4

Reproducible on: Windows 10