Please help

Current i am working in a company for last 3 years and wanted to switch but my company have strict 3 months notice or no papers policy which no other company is ready to wait for and i recently got an opportunity where they don't want my releaving letter just the offer letter and pay slips will do so should i leave my company without serving notice period and papers or should i serve notice period and see for other opportunities? Please also tell what will be the impact on my future career opportunities will MNC require all previous experience docs or just the last.

Please help i am very confused