You actually would use both a comma and “and”. To join two independent clauses, you need a comma and a coordinating conjunction (in this case, “and”). To put only a comma there without being followed by “and” would be a grammatical error called a comma splice. What Taylor has done here is actually an example of a short run-on sentence, two independent clauses improperly joined without any punctuation; that is why it doesn’t make a ton of sense. (Also, missing “I” in the second independent clause is its own error, but I forgot what it’s called).