This is a really bad 'fact' to try and use to disprove flat earth. Go back to the drawing board, and count this one as a win for FE. "Broken satellite proves found earth" ... Lol, you can't make this stuff up.
Well, your best argument against it seems to be just "I don't believe... " ... which isn't much of an argument
70+ years of other satellites, along with the independent efforts of those who have;
tracked them,
laser-ranged them,
seen them through telescopes,
downloaded data from them,
monitored and imaged weather patterns with them,
used them for news-gathering and outside broadcast,
tracked their motorised assets through them,
launched a car on one, and
watched/listened to domestic TV and radio ......
all proves a spherical earth. The satellites that fail are simply the price of working with modern tech.
There's a satellite industry in most every civilised country on Earth. Get used to it. The many thousands/millions involved in these industries are not all "in on the hoax" ....
Here's one instance of the (independent, scientific) folks who laser-range the orbital satellites;
http://sgf.rgo.ac.uk/and here's a demo of the (independent, commercial) folks who make and sell tracking telescopes which can monitor/image the orbital satellites;