fix(dm): resolve bridged DM metadata

[eleboucher]

Description

Fixes #

Type of change

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)
• This change requires a documentation update

Checklist:

• My code follows the style guidelines of this project
• I have performed a self-review of my own code
• I have commented my code, particularly in hard-to-understand areas
• I have made corresponding changes to the documentation
• My changes generate no new warnings

AI disclosure:

• Partially AI assisted (clarify which code was AI assisted and briefly explain what it does).
• Fully AI generated (explain what all the generated code does in moderate detail).

[github-actions]

Deploying with    Cloudflare Workers

Status	Preview URL	Commit	Alias	Updated (UTC)
✅ Deployment successful!	https://pr-1649-sable.raspy-dream-bb1d.workers.dev	8cfbe0d	pr-1649	Wed, 05 Aug 2026 17:54:02 GMT

[cyrneko]

This fixes #1585, I've verified the changes to work with Sliding Sync enabled.

At a quick glance, the code looks aight to me