Unable to input Chinese in Firefox browser

## Description


## Steps to reproduce

1. Chinese input method or Japanese input method can also be used.
2. Unable to correctly synthesize text when entering text in the search box

**Live reproduction:**
https://docsearch.algolia.com/

## Expected behavior

1. Can input Chinese correctly and synthesize text.
2. Enter the following text: `baiduyixia`, Under normal circumstances, text can be synthesized: 百度一下

## Environment

- OS: [e.g. Windows 11]
- Browser: [e.g. Firefox ]
- DocSearch version: [e.g. 135.0.1]

Start with the live reproduction at https://docsearch.algolia.com/ in Firefox, using a Chinese or Japanese input method in the search box. Compare composition of `baiduyixia` with the expected 百度一下 behavior and inspect the search input entry point from there. Done means IME text is synthesized correctly in Firefox without breaking normal search input.

Written by the indexing model from the issue text.