You are a high-volume, dedicated cold-outreach organization with a stack already wired together (CRM, intent data, multi-channel orchestration). Specialist outreach platforms in that lane will fit your workflow better than NuReply. Use the right tool for the size of operation you actually run.
Your sending pattern is transactional (password resets, receipts, system notifications). Use Outbound SMTP for relay or the Developer Email API for HTTP-first sending. Different architecture, different primitive. NuReply is for outbound prospecting through your own mailboxes, not application transactional flow.
You do not yet have SPF, DKIM, and DMARC dialed in. The warm-up engine will not save you from broken authentication. Fix the foundation first. See SPF Management and DMARC Reporting.