Add LivestreamChannelLogic with bi-directional pagination and no DB.

[VelikovPetar]

🎯 Goal

Describe why we are making this change

🛠 Implementation details

Describe the implementation

🎨 UI Changes

Add relevant screenshots

Before	After
img	img

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Before	After

🧪 Testing

Explain how this change can be tested (or why it can't be tested)

Provide a patch below if it is necessary for testing

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Provide the patch code here

☑️Contributor Checklist

General

• I have signed the Stream CLA (required)
• Assigned a person / code owner group (required)
• Thread with the PR link started in a respective Slack channel (#android-chat-core or #android-chat-ui) (required)
• PR is linked to the GitHub issue it resolves

Code & documentation

• Changelog is updated with client-facing changes
• New code is covered by unit tests
• Comparison screenshots added for visual changes
• Affected documentation updated (KDocs, docusaurus, tutorial)

☑️Reviewer Checklist

• UI Components sample runs & works
• Compose sample runs & works
• UI Changes correct (before & after images)
• Bugs validated (bugfixes)
• New feature tested and works
• Release notes and docs clearly describe changes
• All code we touched has new or updated KDocs
• Check the SDK Size Comparison table in the CI logs

🎉 GIF

Please provide a suitable gif that describes your work on this pull request

[github-actions]

SDK Size Comparison 📏

SDK	Before	After	Difference	Status
stream-chat-android-client	3.20 MB	3.20 MB	0.00 MB	🟢
stream-chat-android-offline	3.42 MB	3.42 MB	0.00 MB	🟢
stream-chat-android-ui-components	10.48 MB	10.48 MB	0.00 MB	🟢
stream-chat-android-compose	12.59 MB	12.59 MB	0.00 MB	🟢

[sonarqubecloud]

Quality Gate failed

Failed conditions
14.0% Coverage on New Code (required ≥ 80%)

See analysis details on SonarQube Cloud

[github-actions]

This pull request has been automatically marked as stale because it has been inactive for 14 days. It will be closed in 7 days if no further activity occurs.

[VelikovPetar]

Closing this for the moment, will re-open it once it is ready