The first day I would build
Give Old Town the cooler, clearer part of the day.
- Start with Lingaraj, Mukteswar, or Rajarani before the heat builds.
- Use Ekamra Haat or Market Building as the shopping and craft reset.
- Keep Puri or Konark for a separate day unless timing is very generous.
Bhubaneswar is called the temple city for a reason, but the temples are more enjoyable when they are not squeezed between errands and long transfers. I would give Old Town a focused morning rather than scattering it across the day.
After that, let the route become easier. Ekamra Haat, Market Building, food, or a hotel break can carry the hotter middle hours without making the day feel wasted.