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There is just the Kassandra Heuchera with a "K" so the other one (Cassandra Heuchera) is either mislabeled or just spelled wrong - but most likely the same plant.

You can grow a Coral Bell in a container, but generally it is difficult to mimic the woodland environment they would thrive in indoors.
Here is a link to the care of Coral Bells.

https://www.gardeningknowhow.com/ornamental/flowers/coral-bells/coral-bells-plant.htm

Heuchera in zone 5 or warmer should survive over winter when left in pots, though the container would still need to be wrapped to protect the roots. That said, you can also plant these in spring or fall, so it would be fine to go ahead and put the plant in the ground now before it gets too cold to do so. You can add a layer of mulch to help insulate the newly planted Heuchera as well.

Coral Bells should be planted in a shade or partial sun location. Full sun will likely be to much for this woodland plant.
You may have issues with this plant getting sun scald in a full sun location.

New planting should receive adequate water up until winter. You should not need to cover these plants as they are hardy down to zone 3.
Here is a link to refresh you on the care requirements.

https://www.gardeningknowhow.com/ornamental/flowers/coral-bells/coral-bells-plant.htm

Drainage in soil can be different from one planting location to the next. Knowing that you do have clay soil and that the plant has changed very little through the growing season, soil is very suspect.

You can do a soil test to determine what is needed, but drainage is a likely issue.

Here is a link to refresh you on the growing requirements.

https://www.gardeningknowhow.com/ornamental/flowers/coral-bells/coral-bells-plant.htm

https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/testing-soil.htm

https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/how-to-improve-clay-soil.htm

Your Heuchera bare root should be slightly damp when it arrives.
Plant out the root in part sun or partial shade area in good loamy soil.
Water so the soil is moist, but dries slightly between waterings. Too much moisture or poorly draining soil will lead to root rot.
Keep the crown of the bare root at soil level or just above the soil line.
Make sure the roots are spread out and completely covered with soil.
Water in but keep them slightly dry until you see active growth.
Once growing you should be able to water once a week.

https://www.gardeningknowhow.com/ornamental/flowers/coral-bells/coral-bells-plant.htm