Here are some pictures without the fan.
It’s a Cooler Master and It looks like this one . In fact, It’s likely the same.
If you think I can rotate the heatsink, without moving the base and touching the thermal paste, I’ll go for it. But It looks like I won’t be able to do that without removing the thermal paste…
I’ve already replaced some termal paste but on a really old computer so I didn’t care much in case of failure, here It’s my main computer so I prefere to be carefull.
Thank you again