Same gap as the remote_storage S3 client: filer.replicate uploads via
s3manager.Uploader without populating ContentType, so replicated objects
on S3-compatible backends (e.g. Backblaze B2) store binary/octet-stream
and browsers refuse to render HTML, CSS, etc.
Pass entry.Attributes.Mime through to UploadInput.ContentType, leaving
the header unset when no Mime is recorded so the remote keeps its own
default.