A way of passage from one building to an area of refuge in another building on approximately the same level is called:

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A horizontal exit is a protected passage that connects two buildings (or two parts of a building) at roughly the same floor level, allowing occupants to move from the fire area into an area of refuge in the neighboring structure without going to another level or outside. The scenario describes this exact setup: passing from one building to a refuge area in another building on about the same level.

Why this fits best: it specifies a passage between buildings at the same level to reach a refuge, which is the defining feature of a horizontal exit. A means of escape is a broader term for routes to safety but doesn’t specify the inter-building, same-level refuge access described here. An exit discharge refers to the portion after the final exit to the exterior, not the passage to a refuge in another building. A means of egress covers the entire route to safety, not the particular interbuilding passage to a refuge.