Add time synchronization with the client browser.

[kostyamat]

Component name

time:

Link to component documentation on our website

https://esphome.io/components/time/sntp

Describe the enhancement

Please! Add the client browser timestamp as a source for the "time:" component, along with other sources. This requires changes to the web server code, but not many.

Use cases

This will help create devices that are independent of the Internet and home assistant, and that work autonomously somewhere in the field or on the street, and in combination with the RTC module, it will be enough for them to synchronize their time at the moments when the user connects to it's AP to change the configuration or perform scheduled audits.

*** I created just such a device, and I have to enter the time manually. This device is designed to turn off/on the lighting in the hallway of a multi-story building.

[github-actions[bot]]

🏷️ I've automatically added the component: sntp label to help categorize this feature request.