I seem not to understand something clear, if SHA 256 was founded in 2001 right before the launch of bitcoin in 2009, what is the major intent of NSA when they created it before it application on bitcoin network?
Are you trying to imply that Satoshi work at NSA and Bitcoin was NSA program?
Of course, Satoshi was a well-known NSA employee, he created SHA-256 in 2001 just for Bitcoin, that was the only reason, it has no other use. And he waited from 2001 to 2009 to release it. He waited almost 8 years, just to create a Proof of Patience, he had no other function he could build Bitcoin on, SHA-1 was not an option (and that's why he included it in the Script, just to show everyone that it should not be used).
Of course I know that, because I am also a well-known NSA employee. Take my avatar for example, it has Ghidra logo. Another NSA project! It is so evil that they released it as Open Source. Its main use case is disassembly and decompilation, they are so evil, that they made it easier than using a bunch of other tools like objdump, and made a convenient GUI to drive programmers away from using console, that was their plan from the very beginning.
Also note that the first Bitcoin version was only for Windows. That means Satoshi also worked for Microsoft, there is no other option.