Once you are outside the campus recruiting cycle, the application is usually less standardized and may be handled through an experienced-hire or off-cycle process, depending on the office and role.
Your MBA still matters as part of your profile, but you should not assume you retain the same school recruiting access or deadlines after graduation.
Check the specific role and ask recruiting how they classify recent MBA graduates. The interview bar is still likely to include the same core case and personal-experience skills.