Count every arcade broadcast attempt toward the cycle limit

[zxxma]

Summary

The arcade day-close worker limited successfully recorded attestations, so failed broadcasts across several game/day boards could exceed MaxPerCycle. Count every broadcaster invocation before sending and subtract attempts when loading later boards. Failed transactions, already-delivered results and receipt-write failures all consume the cycle's allowance.

Keep the returned successful-attestation count and existing retry parking behavior. Remaining work drains in later cycles. Clarify that this is an attempt bound, not a persistent daily/monthly gas budget. No production flags, signer balances or fee settings change.

Test plan

• New cross-board regressions fail against unchanged main and pass with the fix for transient/permanent failures, conflicting logs, successful or already-delivered results, and post-broadcast receipt-write failure.
• Verify retry parking still lets later boards progress while each cycle stays within its attempt allowance.
• Full backend go test -mod=readonly -race -count=1 ./... passed using the installed Command Line Tools compiler and explicit SDK path; focused arcade go vet passed.
• Candidate 493c8bf0 was rebased onto main e7707b78 (merged fix: preserve Space Invaders taps between simulation frames #1201), with backend contents unchanged from the race-tested candidate; all hosted CI checks passed.
• After chore(deps): bump golang.org/x/sync from 0.22.0 to 0.23.0 in /backend #1190 merged, the September 15 guarded GitHub branch update incorporated main be6ef1ba into 2a7b3190. Fresh hosted CI validates the combined dependency update and fix; earlier local results below describe 493c8bf0.
• Frontend production build and lint passed; unit suite: 5,076 passed, one existing opt-in corpus-generation test skipped.
• Chromium, Firefox, iPhone and Pixel browser matrix: 523 passed, 15 suite-controlled skips; three Chromium macOS visual baselines passed separately. Browser servers and fixture ports were isolated from other tasks. Skipped live/conditional coverage is not evidence of mainnet compatibility.
• gofmt and git diff --check passed. No live signing or broadcasting.

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[github-actions]

The latest Buf updates on your PR. Results from workflow CI / proto (pull_request).

Build	Format	Lint	Breaking	Updated (UTC)
✅ passed	✅ passed	✅ passed	✅ passed	Sep 15, 2026, 9:18 AM