Improve playground layout #9147

Job	Run time
Clippy	1m 20s
Format	15s
Build and test (windows-latest)	11m 36s
Format Q# Files	44s
Build and test (ubuntu-latest)	5m 51s
Build and test (macos-14)	9m 30s
Rust Unit tests (windows-latest)	7m 26s
Rust Unit tests (ubuntu-latest)	4m 7s
Check web files	31s
Rust Unit tests (macos-14)	3m 53s
Integration tests (windows-latest)	14m 9s
Integration tests (ubuntu-latest)	8m 1s
Integration tests (macos-14)	9m 20s
Status Check	1s
	1h 16m 44s

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