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feat(website): bring the live demo into the homepage hero #2653

Job	Run time
Rust test (macOS compositor)	6m 25s
Build	59s
Lint	32s
Type Check	41s
AppStream metadata	12s
Docs	8s
Typecheck (tests)	43s
Swift test (macOS capture helper)	1m 1s
Test	1m 50s
Rust test (Linux compositor)	5m 30s
Rust check (Windows compositor)	3m 29s
Validate PR title (semantic)	6s
	21m 36s