Don't have Chrome installed after install its rpm

Yes, but the OP started this before 12.3 was released. And it is not clear from his posts that he reinstalled (or did anything else) to go to the released 12.3 Thus we others were (and are) still unsure about what he realy used.

Not important anymore as the OP now anounced to install anew (and I hope the released version and not some pre-release he has still lying around) in 64-bits. So we will leave this here (as the last of the 12.3 pre-release problems) and declare it SOLVED.