The photons would be absorbed by the materials in the walls in fairly short order. That goes to the general question: matter tends to absorb photons (which is why most substances do not resemble mirrors). The temperature wouldn't matter, though the absorption of the photons would tend to warm things up a bit.

Photons don't have a temperature, so the absolute zero question is irrelevant, or it makes no difference, depending on how you want to look at it.

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