Oh, and is there no device online that has the same function as those 3 diodes? I can soder, I'm just lazy 😂
Why not just use a 7812 12 volt regulator? It's just two wires in and two wires out (one wire, the negative, is shared so it only has three pins) and if you attach it to some metal bit to use as a heat sink the real 7812s (not the fakes) are good for up to an amp.
I agree that 12.9 volts should not burn out a fan but given the very poor quality of many imported electronic devices today, I can't say that I'm surprised.
" is there no device online that has the same function as those 3 diodes?"
Three diodes operate differently then a single 7812. A 7812 regulates (limits) the output voltage to 12 volts regardless of the input voltage (within certain limits, see the spec sheet). But a silicon diode is simply a 0.6 (nominal) volt drop so three diodes would give you a 1.8 volt drop regardless of the input voltage (they will operate up to 400 volts or so depending on the diode). That's fine if your PSU outputs 13 VDC but if it happens to output say 16VDC then the output after the diodes will still be 14.2 VDC.
A 7812 regulates the voltage but diodes are simply a fixed voltage drop. I've used both in circuits but for a poorly regulated input and for a fraction of an amp I prefer to use a 7812. The 7812 and similar regulators will also shutdown if the current is too high and they over heat so they do add a bit of protection. The 7812s (and similar) operate by switching the power off and on at high frequency (pulse modulation) so they do generate some electrical noise on the output, and usually, you need to add input and output filter capacitors to them to reduce the electrical noise but for a mechanical device such as a fan, you shouldn't need them.
PS 7812s are very common and are used in many devices so if you're operating on the cheap, you can easily find 7812s in things like wall warts. electric clocks, transistor radios, timer boards for washing machines etc and they're also very widely available as surplus. In the US it's not hard to find partial rolls (end of the reel) of brand new
high quality ones for a few cents per part.