Reproduction:
1) Create a new HDRP template
2) Run wizard for DXR setup
3) Add path tracing with default settings
4) Find the lamp in the third room

Expected result: All lamp parts look similar to each other, same as without Path tracing
Actual result: Two of the lamps are dark, one looks as expected.

This is maybe related to Light layers. Each lamp part has a Point light with a light layer, seems that one point light is working and the other two are just ignored. If you enable disable the lamp Light_Point_Bulb (2), there is no effect