Model in @ai-sdk/openai sdk fails on the 2nd request #5104

Description

When I use @ai-sdk/openai to access openai models which only support Response API(like gpt-5.1-codex), and I set the store to false & "include": ["reasoning.encrypted_content"], the second request fails with below error message

ERROR 2025-12-05T05:28:32 +3ms service=session.processor error=The encrypted content for item rs_0f26baa4a8bfec6b0169326d7c20a8819499e6d836076cc00b could not be verified. stack="AI_APICallError: The encrypted content for item rs_0f26baa4a8bfec6b0169326d7c20a8819499e6d836076cc00b could not be verified.\n at <anonymous> (../../node_modules/.bun/@[email protected]+d6123d32214422cb/node_modules/@ai-sdk/provider-utils/dist/index.mjs:889:18)\n at processTicksAndRejections (native:7:39)" process

The request body has reasoning information with id & encrypted_content item, when the store has been set to false, reasoning should not include id & encrypted_content, because the server does not store the reasoning information. The only content that needs to be included in reasoning should be the summary, provided that the summary exists.

Partial request body information is as follows:
{"role":"user","content":[{"type":"input_text","text":"hi"}]},{"type":"reasoning","id":"rs_0f26baa4a8bfec6b0169326d7c20a8819499e6d836076cc00b","encrypted_content":"gAAAAABpMm18nXrFLUlQWklcTxLxRKja9xTgzkc-EOx3-KI7h1DGIDFpIEjdUbaOCnnLjXdxT52UYCnz8C_VAOmdNO-cKgUqDKbYkZlnuGKAYrgZUoLsiYpp-uyWKrnpU5kZdusMxhARLjNdiVBW82Ll-ug_glO3jeqRUuiDDPXKMuL9MleLGzfXg2MtYq952meJDVqFA32gRo-T-nV2UZH2V9BtbBjltAkVo1yWbv5oC4neD4K3t1Tiyo72GmfVR2ZAkzOTpjobSVUTGrsCQzQytpbl6vAbHcIa9-z0Y0Y0lTQ7TZBBJE971-GzsVjhG2cDOrkEUGZlEcEZEbalVe_6tUSw1icClbMGhPCLMm8RDT_IjTvP2x6kdQRlzKYsZLj4KMl_FesRQJdsvqqSg7HJFPJvQbMpoLuMscEhjmIwIcQ0SGEfUsfNo57i02Pl8iPzASD-LYgHjdYG0CrHxRPeWWW3Jm-t9McmSTpC7iyGpK9cdz1nBkjH5HRXofL0RTIOR4pYffDjvjbreRnWakLvpjYEzIYPEUVjNJb9XScFMJJsAnIcNS4p2BmZNHr3JjAbx_1g1-mm7e-VkkoXyrFY3F5MUQokpXtHfMoBHBrYmgtBmBbC7oxxp4WN0WQgtg2C1Re4gyce7TZ92dMYeb9qJLD_hMfHcvKqS_xjiO5Glz5WuhiQ1VeDR9TGAWXf8vA9FXlhLUbW2fRiE4BH1cASRhy1CpBK3Jn0QZ84BDYvmw3MkjeWVLgIgqa80iUHKHQoOIKRtryPK3uYUds_wYn5KnOYwLZO_AiLExgj1cTtdqggdC2oNlcKDcJAm65kFYw2pFj3JpemUu9bld2zN9Lva-PF0zFtVRfd5Td-j7iwDEAJzObiWTBTs627AJWGrbUo4jreqooH","summary":[]},{"role":"assistant","content":[{"type":"output_text","text":"hello, what can I do for you?"}],"id":"msg_0f26baa4a8bfec6b0169326d7c76b881949ca449a294f5d379"},{"role":"user","content":[{"type":"input_text","text":"hello"}]}],"max_output_tokens":32000,"store":false,"include":["reasoning.encrypted_content"],

my opencode.json is below:

{
  "$schema": "https://opencode.ai/config.json",
  "provider": {
    "gaisf-openai": {
      "npm": "@ai-sdk/openai",
      "name": "gaisf-openai",
      "options": {
        "baseURL": "https://mlop-gateway-rddmz.xxxx.inc/openai",
        "apiKey": "{env:MY_GAISF_KEY}",
        "timeout": 300000
      },
      "models": {
        "gpt-5.1-codex-medium": {
          "id": "gpt-5.1-codex",
          "name": "gpt-5.1-codex-medium",
          "attachment": true,
          "modalities": {
            "input": ["text", "image"],
            "output": ["text"]
          },
          "options": {
            "store": false,
            "include": ["reasoning.encrypted_content"],
            "reasoningEffort": "medium",
            "reasoningSummary": "auto"
          }
        }
      }
    }
  }
}

OpenCode version

1.0.133

Steps to reproduce

Using @ai-sdk/openai sdk to access GPT-5.1 Codex model

Send "Hi" -> Works
Send "Hello" next -> Fails

Screenshot and/or share link

NA

Operating System

ubuntu 24.04

Terminal

VSCode remoteSSH Terminal