AI Logo Generator: Extend the logo block with base component under the beta flag

[dhasilva]

The logo generator should be available as an extension of the logo block, just as the other extensions, under the beta flag.

ref kJj8rPzRgHXAMHzhsmrfpy-fi-3822_4345

Depends on #34376

[github-actions]

This issue has been marked as stale. This happened because:

• It has been inactive for the past 6 months.
• It hasn’t been labeled `[Pri] BLOCKER`, `[Pri] High`, `[Type] Feature Request`, `[Type] Enhancement`, `[Type] Janitorial`, `Good For Community`, `[Type] Good First Bug`, etc.

No further action is needed. But it's worth checking if this ticket has clear reproduction steps and it is still reproducible. Feel free to close this issue if you think it's not valid anymore — if you do, please add a brief explanation.

[lhkowalski]

This is the idea illustrated on the Figma file:

When clicked, the AI icon will trigger the logo generator window. When the logo is ready, the user can set it on the block.

[lhkowalski]

Closing this in favor of smaller tasks on the board. The main epic is being tracked on the roadmap dashboard, item 1707.