docs: update landing page

[lazarv]

This PR refreshes the docs landing experience and updates related documentation content. It introduces a new interactive homepage presentation, replaces/reshapes key guide content, and aligns docs deployment/configuration for the updated setup.

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Status	Name	Latest Commit	Preview URL	Updated (UTC)
✅ Deployment successful! View logs	react-server-docs	576ac97	Commit Preview URL Branch Preview URL	Feb 27 2026, 11:08 PM

[codecov-commenter]

❌ 1 Tests Failed:

Tests completed	Failed	Passed	Skipped
167	1	166	0

View the top 1 failed test(s) by shortest run time

__test__/apps/docs.spec.mjs > docs load

Stack Traces | 33.3s run time

AssertionError: expected 'Error creating WebGL context.Error cr…' to contain 'react-server'

Expected: "react-server"
Received: "Error creating WebGL context.Error creating WebGL context.Retry"

 ❯ __test__/apps/docs.spec.mjs:13:42

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