fix: managed install archive extraction path mismatch + e2e MCP tests #344

Job	Run time
unit-test (ubuntu-latest)	1m 25s
build	28s
unit-test (windows-latest)	1m 0s
unit-test (macos-latest)	47s
integration-test (windows-latest)	1m 54s
integration-test (macos-latest)	2m 0s
integration-test (ubuntu-latest)	56s
	8m 30s

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