Add Lytiva integration documentation

[PrathamConvasys]

Summary

Documentation for the new Lytiva integration that adds support for Lytiva smart home devices via MQTT.

Link to integration PR

home-assistant/core#158026

Link to brands PR

home-assistant/brands#8645

Proposed change

This PR adds comprehensive documentation for the Lytiva integration, including:

• Installation and configuration instructions
• MQTT topic structure
• Supported devices
• Automation examples
• Troubleshooting guide

Type of change

• Documentation for a new integration

Additional information

• The integration uses MQTT for local push communication
• Includes config flow for easy setup via UI

Checklist

• Documentation follows the style guidelines
• All links are valid and working
• Examples have been tested
• YAML front matter is complete and correct
• Screenshots included (if applicable)

[home-assistant]

It seems that this PR is targeted against an incorrect branch since it has a parent PR on one of our codebases. Documentation that needs to be updated for an upcoming release should target the next branch. Please change the target branch of this PR to next and rebase if needed.

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[c0ffeeca7]

Thank you for contributing, @PrathamConvasys 👍

There are a few small steps needed before this PR can be processed:

1. As this PR seems to be related to a code PR, please rebase and point this PR against the next branch.
2. Please restore the original PR template.
3. In the PR template, add the link to the related core PR.
4. Add the link to the related brands PR.

[c0ffeeca7]

I'm drafting this PR, as changes are needed.

Please undraft it once the changes have been implemented and the PR is ready for review again.

[silamon]

I've changed it from current to next, but there are still unrelated commits that shouldn't be part of this pull request.
If you can't fix it, you're more than welcome to open a new pull request branched of next.