In the context provided, "يعزيني" conveys a sense of seeking comfort or solace, which is why it translates as "console me" in English. This term is more emotionally supportive and reflective, compared to the more intense and mournful connotations of "mourn me."

Example sentences:
1. He consoled me when I received a rejection letter from my dream job.
2. The sad movie consoled me during a difficult time in my life.
3. She always knows how to console me when I'm feeling down.