Child fleeing correction during dinner by hiding under the table

Hi! Our kids, 7 and 5, are very sensitive to correction. They simultaneously have very tender hearts and also have extremely strong-willed, physical reactions to almost any correction (lots of reasons for this, we are learning a lot!)

My question is in regards to situations at the dinner table. Say our 5 year old is frustrated that his taco broke, I show understanding (that's frustrating!) and at some point come to an instructional moment about how he should handle the situation. He gets upset and hides under the table. I instruct him to come to his calm down spot and he refuses to come. This could happen with my 7 year old too with a correction about her attitude. She has hidden under the table during dinner. Sometimes they’ve started pushing the pedestal table around with their feet. Carrying them to their calm down spots while they’re fighting is traumatic for everyone, but we also don't like the idea of making everyone else leave the dinner table – very disruptive (we have a 15 month old in a high chair) and it just feels not good to allow the child to chase everyone away from dinner. The merciful rule of three can help, but it can be long and having everyone basically listen in as I go through it isn’t ideal. What are your thoughts?