Running Nuxt 3 with Pinia (SSR) builded version on Node causes problems

[nhatimme]

Reproduction

Steps to reproduce the bug

Install Nuxt 3 with SSR enabled and Pinia activated. Import a store inside a template and use it with await productsStore.getProduct(Number(route.params.id)). Then build it and run the builded version. In the dev version there is no errors/problems.

Expected behavior

On the development version, there is not issue. When we run the builded version, the error is as following in console: (The website is working, but we see this error).

[nuxt] [request error] [unhandled] [500] Cannot find module '/home/webshops/public/staging/.output/server/node_modules/pinia/dist/pinia' imported from /home/webshops/public/staging/.output/server/chunks/_id_.mjs
  at new NodeError (node:internal/errors:387:5)
  at finalizeResolution (node:internal/modules/esm/resolve:330:11)
  at moduleResolve (node:internal/modules/esm/resolve:907:10)
  at defaultResolve (node:internal/modules/esm/resolve:1115:11)
  at nextResolve (node:internal/modules/esm/loader:163:28)
  at ESMLoader.resolve (node:internal/modules/esm/loader:837:30)
  at ESMLoader.getModuleJob (node:internal/modules/esm/loader:424:18)
  at ModuleWrap.<anonymous> (node:internal/modules/esm/module_job:76:40)
  at link (node:internal/modules/esm/module_job:75:36)

Inside the template we have:
await productsStore.getProduct(Number(route.params.id))

Actual behavior

On the development version, there is not issue. When we run the builded version, the error is as following in console: (The website is working, but we see this error).

[nuxt] [request error] [unhandled] [500] Cannot find module '/home/webshops/public/staging/.output/server/node_modules/pinia/dist/pinia' imported from /home/webshops/public/staging/.output/server/chunks/_id_.mjs
  at new NodeError (node:internal/errors:387:5)
  at finalizeResolution (node:internal/modules/esm/resolve:330:11)
  at moduleResolve (node:internal/modules/esm/resolve:907:10)
  at defaultResolve (node:internal/modules/esm/resolve:1115:11)
  at nextResolve (node:internal/modules/esm/loader:163:28)
  at ESMLoader.resolve (node:internal/modules/esm/loader:837:30)
  at ESMLoader.getModuleJob (node:internal/modules/esm/loader:424:18)
  at ModuleWrap.<anonymous> (node:internal/modules/esm/module_job:76:40)
  at link (node:internal/modules/esm/module_job:75:36)

Inside the template we have:
await productsStore.getProduct(Number(route.params.id))

Additional information

No response