fix(webview): isolate parallel mode and provider profile writes #3181

Job	Run time
check-translations	34s
compile	2m 24s
platform-unit-test (windows-latest)	13m 11s
platform-unit-test (ubuntu-latest)	8m 0s
invisible-chars	7s
knip	45s
dependency-review	10s
	25m 11s

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