Search button unselects after each prompt (Gemini models)

When using Gemini models with web searching capabilities, the "search" button automatically deselects after submitting each prompt. This requires the user to re-enable the search function for every subsequent query, which is disruptive to the user experience.

Steps to Reproduce:

1. Select a Gemini model with web searching enabled.

2. Enable the search function.

3. Enter a prompt and submit it.

4. Observe that the search function is now deselected.

5. Enter another prompt

Expected Result:

The search button should remain selected until the user manually deselects it.

Actual Result:

The search button is deselected automatically after each prompt submission.

Impact:

This bug introduces unnecessary friction for users who frequently utilize the web searching capability, as it requires repetitive manual enabling of the search function.