*Steps to reproduce:*
# Open new project
# Import [https://assetstore.unity.com/packages/3d/characters/humanoids/lowpoly-survival-character-rio-273074] (any other asset with an avatar would work. Avatars allow the easiest reproduction of bug)
# Open Search Window by pressing the magnifying glass at top right of editor or by pressing the shortcut ctrl + k
# Ensure 'Toggle Query Builder Mode' is active. If not, press the toggle button or use the shortcut F1
# Press the + button in the Search Field and type in Animator
# Click the green 'Avatar (Avatar)' option in the menu to add the animator.avatar pill to the search query
# Open the object picker on the pill. A Select Avatar picker will appear. Select an avatar (RioAvatar if using specified asset store asset from above)
# Toggle Query Builder Mode off and then back on again
# Re-open the object picker on the pill

*Actual results:* The object picker has turned from a 'Select Avatar' picker into a generic 'Select GameObject' picker

*Expected results:* The object picker remains as a 'select Avatar' picker

*Reproducible with versions:* 
* 6000.0.10f1
* 2023.2.20f1
* 2022.3.36f1

*Not reproducible with versions:* -

*Can’t test with versions:* 
* 2021.3.40f1 (Doesn't have Query Builder functionality)

*Tested on (OS):* Windows 11

*Notes:*
* A particular pain point is that the bug occurs with Saved Searches. If a search with an object picker (like Avator) is saved, then when the search is re-loaded it will have the generic 'Select GameObject' picker.
* Does not happen with all object picker types.