chore(deps): update dependency @ai-sdk/openai to v2.0.77 (#975)

This PR contains the following updates:

| Package | Type | Update | Change | OpenSSF |
|---|---|---|---|---|
| [@ai-sdk/openai](https://ai-sdk.dev/docs)
([source](https://redirect.github.com/vercel/ai)) | dependencies | patch
| [`2.0.76` ->
`2.0.77`](https://renovatebot.com/diffs/npm/@ai-sdk%2fopenai/2.0.76/2.0.77)
| [![OpenSSF
Scorecard](https://api.securityscorecards.dev/projects/github.com/vercel/ai/badge)](https://securityscorecards.dev/viewer/?uri=github.com/vercel/ai)
|

---

### Release Notes

<details>
<summary>vercel/ai (@&#8203;ai-sdk/openai)</summary>

###
[`v2.0.77`](https://redirect.github.com/vercel/ai/releases/tag/%40ai-sdk/react%402.0.77)

[Compare
Source](https://redirect.github.com/vercel/ai/compare/@ai-sdk/openai@2.0.76...@ai-sdk/openai@2.0.77)

##### Patch Changes

- Updated dependencies
\[[`3568ebc`](https://redirect.github.com/vercel/ai/commit/3568ebc)]
  - ai\@&#8203;5.0.77

</details>

---

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<!-- This is an auto-generated description by cubic. -->
---
## Summary by cubic
Updated @ai-sdk/openai to 2.0.77 to pick up the latest patch fixes and
keep dependencies current. Only package.json and bun.lock were changed.

<sup>Written for commit 82b308f.
Summary will update automatically on new commits.</sup>

<!-- End of auto-generated description by cubic. -->

Signed-off-by: renovate[bot] <29139614+renovate[bot]@users.noreply.github.com>
Co-authored-by: renovate[bot] <29139614+renovate[bot]@users.noreply.github.com>

Author: renovate[bot]

bun.lock

@@ -5,7 +5,7 @@
     "": {
       "name": "docs",
       "dependencies": {
-        "@ai-sdk/openai": "2.0.76",
+        "@ai-sdk/openai": "2.0.77",
         "@ai-sdk/react": "2.0.106",
         "@next/third-parties": "16.0.6",
         "@radix-ui/react-accordion": "1.2.12",
@@ -67,7 +67,7 @@
 
     "@ai-sdk/gateway": ["@ai-sdk/gateway@2.0.18", "", { "dependencies": { "@ai-sdk/provider": "2.0.0", "@ai-sdk/provider-utils": "3.0.18", "@vercel/oidc": "3.0.5" }, "peerDependencies": { "zod": "^3.25.76 || ^4.1.8" } }, "sha512-sDQcW+6ck2m0pTIHW6BPHD7S125WD3qNkx/B8sEzJp/hurocmJ5Cni0ybExg6sQMGo+fr/GWOwpHF1cmCdg5rQ=="],
 
-    "@ai-sdk/openai": ["@ai-sdk/openai@2.0.76", "", { "dependencies": { "@ai-sdk/provider": "2.0.0", "@ai-sdk/provider-utils": "3.0.18" }, "peerDependencies": { "zod": "^3.25.76 || ^4.1.8" } }, "sha512-ryUkhTDVxe3D1GSAGc94vPZsJlSY8ZuBDLkpf4L81Dm7Ik5AgLfhQrZa8+0hD4kp0dxdVaIoxhpa3QOt1CmncA=="],
+    "@ai-sdk/openai": ["@ai-sdk/openai@2.0.77", "", { "dependencies": { "@ai-sdk/provider": "2.0.0", "@ai-sdk/provider-utils": "3.0.18" }, "peerDependencies": { "zod": "^3.25.76 || ^4.1.8" } }, "sha512-lEJ9vyWSU5VLo+6Msr6r32RnABf4SRxPSV3Hz1Yb5yt43bWYxbBzwaDNYGhJaDL6rCgfUVvcIf5TKiiEuVd4EQ=="],
 
     "@ai-sdk/provider": ["@ai-sdk/provider@2.0.0", "", { "dependencies": { "json-schema": "^0.4.0" } }, "sha512-6o7Y2SeO9vFKB8lArHXehNuusnpddKPk7xqL7T2/b+OvXMRIXUO1rR4wcv1hAFUAT9avGZshty3Wlua/XA7TvA=="],
 

package.json

@@ -15,7 +15,7 @@
     "docker": "bash -c \"docker buildx build . --provenance true --sbom true --platform=linux/amd64,linux/arm64 -t ghcr.io/settlemint/btp-docs:${VERSION:-7.0.0-dev.$(date +%s)} --push --progress=plain\""
   },
   "dependencies": {
-    "@ai-sdk/openai": "2.0.76",
+    "@ai-sdk/openai": "2.0.77",
     "@ai-sdk/react": "2.0.106",
     "@next/third-parties": "16.0.6",
     "@radix-ui/react-accordion": "1.2.12",