"Make an experience" or "gain an experience"
Solution 1:
Experience meaning knowledge or skill from doing something is used as an uncountable noun and goes with gain.
I gained much experience from the job.
Experience meaning something that happens that affects you is used as a countable noun, but that is another situation altogether.
He made it an unpleasant experience for me.
It is not clear what your example sentences mean and it is best to rewrite them.
Solution 2:
Gaining experience would be more appropriate in this context. 'Making' an experience has the connotation of creating/crafting an experience, which has a different meaning.