Fuck no.
++
$180 is an awful lot of parts and tools for doing your own repair.
I think I am particularly sensitive to the topic because I have a two year old fridge currently on the outs and I do wish I had the warranty. Even better I wish a company could warrant an appliance for 5 years with the purchase price. They don't seem to be made like they used to be.
"on the outs" - it's failed, making noise and failing soon, just don't like it, ? Either it's keeping stuff cold or it's not, there's not a huge middle ground on fridges.
Five years is about the service life of modern appliances until minor repair, based on our experience - I've had screwdrivers into most of our home appliances in the last 5 years. At no point have I ever thought, "Wow, I wish I had a warranty." Washer drain pump, deep freezer thermostat (get a temperature monitor on those things for early warning), stove infinity control, I need to swap out a valve in the dishwasher and possibly a pump motor that's intermittently squeeling, and I replaced the nylon drive gear in the mixer, though that was my fault - overloaded it.
I'm not a huge fan of it, but it's an awful lot cheaper than replacing the stuff every time anything goes south on them.
As for "investing the warranty" - why? If you're still pants on fire in debt, put it towards your debt. If not, just cashflow the repairs. I don't keep a separate budget item for appliance repairs, I just buy the parts if I need them.
Or find some good used appliances. If it's lasted a few years, it's out of the early failure part of the bathtub curve.