Fix jmap request to server is called when query string is empty in quick search web

[dab246]

Issue

• Jmap request to server is called when query string is empty in quick search web

https://github.com/user-attachments/assets/935216a5-8e7b-4b1c-88c2-cf7c17e08eb7

Root cause

• Using Timer to debounce, but it doesn't work properly.

Solution

-Using debounce_throttle to debounce

Resolved

https://github.com/user-attachments/assets/410f808f-2fa2-4a81-b8be-faa4226228c9

[github-actions[bot]]

This PR has been deployed to https://linagora.github.io/tmail-flutter/3276.

[hoangdat]

• [x] da is requested and dat also. It is not optimized for searching
• [x] write the integration test to make sure: request only be sent after user stop typing for a while (Ex: 300 ms)

[dab246]

• [x] da is requested and dat also. It is not optimized for searching

Fixed.

https://github.com/user-attachments/assets/7b500fe8-da85-4aef-b815-9d93b0d0ea21

• [x] write the integration test to make sure: request only be sent after user stop typing for a while (Ex: 300 ms)

Currently, we don't have integration test on web.