Fix: Better handle database failures in session storage adapters

[andy-liuu]

TODO:

• Try it on a real app
• Add unit tests
  • Ready cases
  • Not ready cases
• Changeset message for a minor
• Verify that the typescripting is ok
• Create an issue to add method to all other session storage implementations and remove prisma's special treatment
• Make it cleaner
• Self review

WHY are these changes introduced?

Fixes https://github.com/Shopify/first-party-library-planning/issues/682

WHAT is this pull request doing?

Type of change

• Patch: Bug (non-breaking change which fixes an issue)
• Minor: New feature (non-breaking change which adds functionality)
• Major: Breaking change (fix or feature that would cause existing functionality to not work as expected)

Checklist

• I have used pnpm changeset to create a draft changelog entry (do NOT update the CHANGELOG.md files manually)
• I have added/updated tests for this change
• I have documented new APIs/updated the documentation for modified APIs (for public APIs)