Move "New conversation"(Chat) and "Back to Chat"(Marketplace) buttons in header on all devices

[IlyaBondar]

Description

Show "New conversation"(Chat) and "Back to Chat"(Marketplace) buttons in header on all devices https://www.figma.com/design/lwL5jneveZczAj5RLcLFH2/DIAL-Chat?node-id=13828-49107&m=dev

Use case/motivation

No response

Related issues

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Confidential information

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[DaryaKarniyenka]

New design https://www.figma.com/design/lwL5jneveZczAj5RLcLFH2/DIAL-Chat?node-id=13703-80222&t=Jo6pSwANixchx3Vj-1