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feat(website): bring the live demo into the homepage hero #2628

Job	Run time
AppStream metadata	13s
Rust test (Linux compositor)	5m 8s
Docs	7s
Validate PR title (semantic)	3s
Swift test (macOS capture helper)	1m 6s
Lint	35s
Build	58s
Test	2m 51s
Typecheck (tests)	51s
Type Check	34s
Rust test (macOS compositor)	1m 46s
Rust check (Windows compositor)	3m 15s
	17m 27s