Soft boiled eggs

To cook soft-boiled eggs, we typically pour boiling hot water into a Kli Sheini, and submerge the raw eggs in the hot water in that vessel for few minutes till the egg reaches a cooked state (or partially cooked state).

Considering that there is no fire/ heating element involved in the process, except to boil the water in the kettle before hand, if a Gentile housekeeper prepared the eggs that way, would it still constitute Bishul Akum?

not a problem