Cease Singapore tax residence
Singapore tax residence ends when you physically leave with no intention to return. There's no formal departure form — you simply stop being IRAS-resident from the date of departure. File a final part-year IRAS return for the year you leave; income earned up to departure date is taxable, post-departure foreign income is not (Singapore is territorial). Get a Notice of Assessment showing zero outstanding tax — useful proof for NZ tax filings during TR.