fix(ci): clear three base-reds on release/v3.8.51 — open-sse typecheck, docs provider count, agent-skills sync (#13216)

Merged after reconciling against the tip. The one conflict was `docs/reference/PROVIDER_REFERENCE.md`, a generated file — regenerated with `npm run gen:provider-reference` (358 unique IDs) rather than hand-merged.

The three base-reds this PR targets, re-checked on the reconciled tree:

- `check:docs-counts`: **exit 0** — provider count 356 → 358 in AGENTS.md, llm.txt, the i18n mirrors and the SVG diagrams was its last red
- `check:open-sse-typecheck`: OK, 0 errors
- `check:agent-skills-sync`: exit 0 (`skills/cli-tunnel/SKILL.md` → `tunnel create [type]`)
- `autoCombo.test.ts` under the mcp vitest config: 63/63
- ESLint over the changed files: exit 0

AGENTS.md, llm.txt and SKILL.md are agent-instruction surfaces; the operator approved them for this PR explicitly.

docs/reference/PROVIDER_REFERENCE.md

@@ -1,16 +1,16 @@
 ---
 title: "Provider Reference"
 version: 3.8.51
-lastUpdated: 2026-09-05
+lastUpdated: 2026-09-14
 ---
 
 # Provider Reference
 
 > **Auto-generated** from `src/shared/constants/providers.ts` — do not edit by hand.
 > Regenerate with: `npm run gen:provider-reference`
-> **Last generated:** 2026-09-05
+> **Last generated:** 2026-09-14
 
-Total providers: **356**. See category breakdown below.
+Total providers: **358**. See category breakdown below.
 
 ## Categories
 
@@ -118,7 +118,7 @@ Use the dashboard at `/dashboard/providers` to enable, configure, and test each
 | `zai-web` | `zw` | Z.ai Web | Web cookie | [link](https://chat.z.ai) | Copy the "token" value from chat.z.ai → DevTools → Application → Local Storage. Do not copy cookies; OmniRoute handles the per-request CAPTCHA through its browser transport. | — |
 | `zenmux-free` | `zmf` | ZenMux Free (Web) | Web cookie | [link](https://zenmux.ai) | Login at zenmux.ai, then export all cookies using EditThisCookie or Cookie-Editor and paste the full Cookie header string here. Refresh every ~30 days. | — |
 
-## API Key Providers (paid / paid-with-free-credits) (238)
+## API Key Providers (paid / paid-with-free-credits) (240)
 
 | ID | Alias | Name | Tags | Website | Notes |
 |----|-------|------|------|---------|-------|
@@ -182,6 +182,7 @@ Use the dashboard at `/dashboard/providers` to enable, configure, and test each
 | `dxnt` | `dxnt` | DXNT / DX Token | API key, aggregator | [link](https://www.dxnt.com) | Free accounts are documented at 100 calls/day; the quota may increase through invitations and can vary by account. |
 | `electronhub` | `electronhub` | Electron Hub | API key, aggregator | [link](https://www.electronhub.ai) | Free plan: 5 RPM, $0.25 weekly credits and 10 Neutrinos/day for :free models; family budgets also apply. |
 | `empower` | `empower` | Empower | API key, aggregator | [link](https://docs.empower.dev) | Bearer API key for the Empower OpenAI-compatible endpoint. |
+| `eurouter` | `eurouter` | EURouter | API key, aggregator | [link](https://eurouter.ai) | — |
 | `factory` | `factory` | Factory | API key | [link](https://factory.ai) | Bearer API key for the Factory OpenAI-compatible gateway. |
 | `fal-ai` | `fal` | Fal.ai | API key, image | [link](https://fal.ai) | — |
 | `fastrouter` | `fastrouter` | FastRouter | API key, aggregator | [link](https://fastrouter.ai) | Models with the :free suffix allow 10 requests/day per organization and model; availability may change. |
@@ -210,6 +211,7 @@ Use the dashboard at `/dashboard/providers` to enable, configure, and test each
 | `glm` | `glm` | GLM Coding | API key | [link](https://z.ai/subscribe) | — |
 | `glm-cn` | `glmcn` | GLM Coding (China) | API key | [link](https://open.bigmodel.cn) | — |
 | `glmt` | `glmt` | GLM Thinking | API key | [link](https://open.bigmodel.cn) | — |
+| `greenpt` | `greenpt` | GreenPT | API key | [link](https://greenpt.com) | API subscription is free to create; inference is billed per token. No free inference allowance is published. |
 | `groq` | `groq` | Groq | API key | [link](https://groq.com) | Free plan: per-model caps (200K tokens/day per chat model; see console.groq.com/docs/rate-limits for RPM/RPD) — no payment method on file. |
 | `haiper` | `hp` | Haiper | API key, video | [link](https://haiper.ai) | Get API key at haiper.ai/haiper-api |
 | `hcnsec` | `hcnsec` | Huancheng Public API | API key | [link](https://api.hcnsec.cn) | Get API key at api.hcnsec.cn |
@@ -444,7 +446,7 @@ Use the dashboard at `/dashboard/providers` to enable, configure, and test each
 
 - Catalog: [`src/shared/constants/providers.ts`](../../src/shared/constants/providers.ts)
 - Registry (per-model details): [`open-sse/config/providerRegistry.ts`](../../open-sse/config/providerRegistry.ts)
-- Executors: [`open-sse/executors/`](../../open-sse/executors/) (109 implementations)
+- Executors: [`open-sse/executors/`](../../open-sse/executors/) (111 implementations)
 - Translators: [`open-sse/translator/`](../../open-sse/translator/)
 
 ## See Also