You have explained the anthropic principle correctly but drawn the backwards conclusion. It IS unlikely that our atoms are in an intelligent creature rather than interning matter. HOWEVER, since only intelligent creatures can think 100% of all thoughts occur inside intelligent creatures therefore it isn't odd or lucky that you can have those thoughts.

In order to have the thought "isn't this singularity amazing!" you must be experiencing the singularity. Think of it this way, you have a billion ancestors. 999.99 million of of them can't have complex thought so each one of them is having some qualia but clearly not about the singularity. Of the 10,000 thinking ancestors only one gets to live during the singularity. All other 9,999 are thinking "wow isn't it amazing to live during [something that is not the singularity]" but all are thinking something.

So, the singularity had to happen to one of your genetic line and you are just the random ball picked from the bag. It isn't odd or weird that it was you because it had to be someone and there isn't anything particular or special about you, as opposed to ask the others, that would make you different.

It is akin to watching a snowflake fall on the ground and then having an existential crisis about why it fell on THAT piece of ground as opposed to any other. It has to fall somewhere and the particular piece of ground is not special in any way.