"x" button doesn't disappear from the search bar of the "Create new Shader Graph Asset" when adding the search filter and then removing it with the right-click

How to reproduce:
1. Create a new Unity project and install the Visual Effect Graph package
2. In the Project window, right-click -> Create -> Visual Effects -> Visual Effects Graph -> Any Visual Effects Graph
3. Add the "Output Particle Shader Graph"
4. Near the "Shader Graph" field, click "New"
5. On the Search, click the "+" button and add any filter
6. Right-click the filter -> Delete 
7. Observe the results 

Expected results: There is no "x" on the search because it is empty
Actual results: There is an "x" on the search

Reproducible with: 6000.6.0a4
Not reproducible with: 6000.0.74f1, 6000.3.14f1, 6000.4.6f1, 6000.5.0b7 (No such feature)

Reproducible on: macOS Tahoe 26 (M1)
Not reproducible on: No other environment tested