Prefab instance error in the Console when deleting a Prefab that is a child GameObject of a Tilemap and used in a Tilemap Palette

How to reproduce:
1. Open the attached user project “Tilemap_Prefab_Deletion.zip“
2. Open Scene “SampleScene“
3. Create a Sprite GameObject as a child of the Tilemap
4. Create a Prefab by dragging it into the Assets tab
5. Open the Tile Palette (Window>2D>Tile Palette)
6. Select the GameObject Brush located at he bottom section of the window
7. Enable Tile Palette Edit by pressing the pencil symbol at the top right of the window
8. Press I to select the picker tool and press on the created Sprite GameObject in the Scene view
9. Paint with the Brush tool on the palette (the Brush tool is selected automatically after step 8)
10. Save the Palette by repeating step 7
11. Delete the created prefab in the Assets folder

Expected result: No errors in the Console
Actual result: “Problem detected while importing the Prefab file: ‘Assets/New Palette.prefab'.“ error in the Console

Reproducible with: 2021.3.21f1, 2022.2.11f1, 2023.1.0b8, 2023.2.0a6
Can’t test with: 2020.3.46f1 (The Tilemap palette editor doesn’t exist)

Reproduced on: macOS 13.0.1 (Intel), Windows 11 (by reporter)