Learn Hardcore Hebrew: הנציג אמר שהפיצוי יגיע רק אם הטכנאית תאשר שהייתה תקלה אמיתית. - The representative said that the compensation would come only if the technician confirms that there was a real malfunction.

הנציג אמר שהפיצוי יגיע = The representative said that the compensation would arrive / will be given
תאשר שהייתה תקלה אמיתית = confirm that there was a real malfunction/problem

It introduces a subordinate clause, just like that in English.

A very literal breakdown is:

In everyday Hebrew, ש־ is extremely common.

Why is יגיע used here? Doesn’t it literally mean will arrive?

Yes, יגיע literally means will arrive / will reach, from the root נ־ג־ע in the sense of reach.

But in Hebrew, it is also commonly used for things like:

So הפיצוי יגיע literally means the compensation will arrive/reach, but in natural English it usually means something like:

This is a normal Hebrew way to talk about compensation or payment.