Are quote marks needed?

[Tan Elaine]

A strong life force will generate a strong immune system in our body. We call it "Oneness of body and mind".

Should the part in bold be within quote marks? I am confused because we can say My dog is called Darkie. (No quote marks.)

Thanks.

[5jj]

A strong life force will generate a strong immune system in our body. We call it "Oneness of body and mind".

Should the part in bold be within quote marks? Yes

I am confused because we can say My dog is called Darkie. (No quote marks.)
.

We don't normally use quotation marks for personal name. In the following sentence, many people would use them where I have:

My first name is Jon, but most people call me "Five" or "Jed".