This is the 12899th most frequent Russian word.
лезть
"Лезть" means "to climb," "to crawl," or "to get into," often implying effort or intrusion.
In this context, 'лезть' means to interfere or get involved in something unwanted or undesired, typically a conflict.
Я не хотел лезть в драку.
I didn't want to get into a fight.
Here, 'лезть' refers to physically climbing or ascending somewhere.
Она полезла на крышу, чтобы достать мяч.
She climbed onto the roof to get the ball.
In this usage, 'лезть' conveys the sense of interfering or prying into matters that do not concern oneself.