細い道 vs 狭い道

During review today, Bunpro prompted me with:
この道はとても__ので、車は通れません。
This road is so narrow that cars cannot pass through.

The answer is 細い
But gosh, I really wanted it to be 狭い, because it relates to space being narrow.

Can a native speaker or expert please help me get what I’m missing?

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I’m not by any means an expert, but image search suggests both can refer to a road too narrow for a car:

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me no expert either but my intuiton says: 狭い for car roof clearance, 細い for wheels width.

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