Best Reason to Relieve Immediate

I’m currently working as software engineer where i have 90-day notice period in my present company, but I’ve received an offer with a 100% hike where they require me to join within 2 weeks (non-negotiable). Unfortunately, my current employer can’t relieve me that quickly.

Could you please suggest some practical reasons or approaches that I can use to request an immediate exit from my current organization, while still ensuring that I receive all the necessary relieving documentation and experience letters?