째다 in the above audio is a teenage slang. It means "도망치다(to escape)" Most Korean adults will not understand if someone says "째주세요" You'd better not use it in everyday conversation. If you want to say skip an item with another expression, you can use "제외해주세요."

It is a long story but it originates from this audio https://instaud.io/1dcp Notice what the last two girls said. One said 째 the other followed by 째 too. The only meaning of 째다 that i knew of is the sense where clothing or shoe size do not fit. So i was puzzled by what it appeared in that scene, til i asked my friend what it meant. He said it meant skipping. So in that context the two were to skip classes. Now in english we use skip in many situations and it is considered a general verb. 빼다 can mean take out or skip or remove in a way. What about 째다? Is it rather like escape?

I don't understand your question. There is no similarities between 째다 and 빼다 in the meaning.

It looks like you're confused with 빼다 and 째다. You can use 빼다 as base verb. Eg: 그것은(그건) 빼주세요. 째다 as base verb has many meanings. Eg: 배를 째다.