AI copilot search implementation

[mkucmus]

Describe the feature

A component that enable an user to utilize a AI copilot search available in the backend

steps:

• check what Shopware 6 plan allows to use the feature
• Check if it's available via store-api -> if not- create a ticket in the backend and set this issue to blocked label
• if it's available via store-api - implement it (in demo template if it's built in the basic plan - os included), in examples + docs otherwise

Description

N/A

Acceptance Criteria

• vue-demo-store is updated with a new component
• composable is created/extended
• documentation is written

Additional information

• Would you be willing to help implement this feature?

Checks

• Check existing discussions and issues.