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Phase 1 of the cycle-budgeted precise interrupt-take-point fix (root cause: compiled blocks take IRQs only at block edges; HW + the dirty-RAM interpreter take them at the exact instruction — oracle-confirmed at the Tomba 2 logo Timer1 debounce). Design validated with ChatGPT; full spec in PRECISE_IRQ_SLICE.md. This commit lands the additive, no-behavior-change foundation (Task #2) plus the prior session's diagnostic take-PC capture, and a build-hygiene dedup: - cycles_to_next_event() (interrupts.c): single source of truth — min guest-cycle distance to the next DELIVERABLE interrupt (source raises its I_STAT bit AND that bit is unmasked in i_mask). Aggregates VBLANK + per-peripheral queries. - timers/cdrom/dma/sio _cycles_to_irq(i_mask): each peripheral owns its own next-IRQ-distance query; all conservative under-estimates (smaller => slice more => never run past an event). - debug_server: cycles_to_next_event command for live validation. - interrupts.c: take-PC capture into the IRQ_DELIVER event-ring aux (prior session's diagnostic; records the architectural take-PC for cross-backend diff). - overlay_loader.c: remove duplicate psx_native_bad_entry definition (HEAD had it twice; would not link cleanly). Live-validated at the logo: returns the VBLANK distance, correctly excludes the three free-running (unarmed/masked) timers and idle CD/DMA/SIO. Runtime-only, no regen. The two-tier executor (Task #3) that consumes this is next. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>