Not sure I understand, you said the PS light went dim, so when you had the engine running the DS was bright but the PS was dim. Then you fixed the PS light and the DS went dim?
Sounds like a wiring thing if only 1 light is going dim, but if they are both going at the same time then it may be the switch. The switches are problematic.
Don't forget to
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first then ask questions later! The loose nut behind the wheel