This is a randomized (meaning participants will be assigned to study arms by chance), double-masked (meaning study doctor and participant will not know which study arm participant is assigned to), controlled study that will include participants with TED of any duration. The key objectives of this study are to determine if VRDN-003 is safe and tolerable when administered as a series of subcutaneous (SC) injections every 4 weeks or every 8 weeks in participants with TED.