fix(js-sdk): Preserve `path` in `baseUrl` #33767

Job	Run time
setup	2m 38s
integration-tests-packages	12m 54s
Shard (0) Unit Tests	8m 47s
Shard (1) Unit Tests	5m 10s
Shard (0) Module Integration Tests	10m 51s
Shard (0) HTTP Integration Tests	12m 14s
Shard (1) Module Integration Tests	9m 31s
Shard (1) HTTP Integration Tests	9m 1s
unit-tests	1s
integration-tests-modules	1s
integration-tests-http	1s
	1h 11m 9s

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