adapter-cloudflare@5.0.0 breaks deployment

Describe the bug

After upgrading to @sveltejs/adapter-cloudflare@5.0.0 deployments no longer work, the ./.svelte-kit/cloudflare now depends on ./.svelte-kit/output and cannot resolve external dependencies. (in my case @ts-rest/core).

Reproduction

Deployment using only ./.svelte-kit/cloudflare binaries: https://github.com/trakt/trakt-lite/actions/runs/12734910219/job/35493024100#step:5:68

Deployment with ./.svelte-kit/output unpacked: https://github.com/trakt/trakt-lite/actions/runs/12735478470/job/35494291485#step:6:68

Deployment with @sveltejs/adapter-cloudflare@4.9.0 output: https://github.com/trakt/trakt-lite/actions/runs/12735605634/job/35494549765#step:5:67

Logs

No response

System Info

System:
    OS: macOS 15.1.1
    CPU: (14) arm64 Apple M3 Max
    Memory: 1.29 GB / 36.00 GB
    Shell: 5.9 - /bin/zsh
  Binaries:
    Node: 20.18.0 - ~/.nvm/versions/node/v20.18.0/bin/node
    npm: 10.8.2 - ~/.nvm/versions/node/v20.18.0/bin/npm
    bun: 1.1.30 - /opt/homebrew/bin/bun
  Browsers:
    Chrome: 131.0.6778.265
    Safari: 18.1.1

Severity

blocking an upgrade

Additional Information

No response

Start by comparing the deployment workflows linked in the reproduction, focusing on the .svelte-kit/cloudflare and .svelte-kit/output directories and the adapter-cloudflare 4.9.0 versus 5.0.0 outputs. Confirm the affected deployment can use only .svelte-kit/cloudflare while resolving external dependencies such as @ts-rest/core, without requiring .svelte-kit/output.