Nope. I'll wait for it to cool down at night and then check the coolant level and sensor. The car is definitely not overheating, as the coolant temperature was 181 degrees at idle according to my code reader live data.

um, I didn't even touch that.

Seeking assistance on this matter. Just got my car out of the garage after four hours, so it's only slightly warm. I was going to fill up the gas tank, but then I noticed the temperature gauge went up to hot and the check coolant warning light came on. I didn't even use half a bottle of coolant, so ...

A yellow pullout clip surrounds a fuse on the fusebox. It could be beneficial to remove and firmly reinsert this, which is known as the IOD.

However, the engine usually starts when this occurs because the IOD is used to disconnect unused services during transportation from the factory.

Touching a power terminal can cause modern cars to become hilariously sensitive. Occasionally, my dad's "old" E92 335i would misfire and throw codes. I accompanied him as we examined the battery terminals; at extreme strain, I could budge one of them by hand. Assumed it was enough. As it turned out ...

In the event of an emergency, do they not also flash?

Concerning the issue with your signal:
How functional is the right front?
Is it true that turning on both the lights and the emergency flasher causes the issue?

It appears that the aftermarket parts are supplied by mainly low-end companies like Uro, MTC, or Hamburg Technik. Given the nature of these parts and the effort required to install them, I would choose the original over the aftermarket option, however I would trust a Febi part if one were available ...

Along with the radiator, you have an integrated transmission oil cooler system. The cooler can be leaking, in which case you'll need to get a new one. Call FCP Euro; they will be able to tell you what to get and what to check.

Thank you. To fix it, I am currently rearranging and adjusting things. Thank you for helping.