Suggestions for a 3 year old

[Spixie33]

I have a 3 year old who seems to really reject nap time. They are just newly 3. I am worried that this will mean that the next 1.5 years will mean no nap time/break for me. Working 10 hours straight through without any peace and quiet has me worried.
I have tried to tell them that you still need to stay on the mat and have quiet time if theyt don't sleep but it doesn't work well. If I give them toys on their mat then they get louder and louder as they play