What is the difference between a part-time and full-time degree from the local university in terms of recognition and finding a job? Let put aside factors like duration and balance study and work. Any advice?

Very much difference in term of bias of opinion.

Honestly speaking depends on what uni. realistically pseaking nus/ntu part time degree not the same as suss part time degree. ofcourse also depends on ur grades, work exxperience, personal aptitude and how u impress the hr and hiring manager during interviews.