4,072,3244,072,324 rooms

Logic Level 3

There are 4,072,324 rooms arranged in an equilateral triangle, similar to the image at right (but extending much further down).

Each room has a door to all adjacent rooms with which it shares a wall. You are currently standing in the room at the top, and your mission is to enter every single room on one condition: you can't enter a room more than twice.

Employing the best strategy to accomplish your goal, what is the least number of rooms you need to enter twice?

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