Add playwright profiling package #786

Job	Run time
List examples	4s
check (ubuntu-latest)	39s
check (codspeedhq-arm64-ubuntu-22.04)	1m 4s
walltime-macos-test	1m 23s
with-vitest-v3 on Node 18	1m 2s
with-typescript-simple-cjs on Node 18	1m 44s
with-electron-and-walltime on Node 18	1m 2s
with-javascript-esm on Node 20.5.1	1m 30s
with-typescript-esm on Node 18	1m 45s
with-vitest-v3 on Node 20.5.1	1m 3s
with-typescript-simple-esm on Node 20.5.1	1m 38s
with-typescript-cjs on Node 20.5.1	1m 26s
with-typescript-simple-cjs on Node 20.5.1	1m 23s
with-typescript-esm on Node 20.5.1	1m 33s
with-typescript-cjs on Node 18	1m 40s
with-typescript-simple-esm on Node 18	1m 30s
with-electron-and-walltime on Node 20.5.1	58s
with-javascript-esm on Node 18	1m 32s
	22m 56s

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