### Fixes

- DM screen: bottom gap on initial open tightened — the last message now sits directly above the input bar. The keyboard-closed padding was double-counting the input bar's own layout slot, leaving a large empty gap every time you opened a chat
- DM image lightbox: photos now actually show rounded corners — the viewer container is sized to the image's real aspect ratio (via onLoad), so the rounding lands on the visible photo instead of the empty letterbox margins of a fixed square
- Lyra coach: removed the "welcome back" greeting that popped up on every first open of the coach each session, regardless of protection status or language (it was always German and unconditional). Will return later only when it's actually warranted
- Chat list performance: the conversation list + unread badge now load via a single indexed query (one row per conversation) instead of pulling up to 500 messages and de-duplicating on the fly — added DB indexes on direct messages. Invisible to users, keeps the chat tab fast as message volume grows

### Features

- DM image lightbox: tap a shared photo → opens with a "Save" button that stores the image to your Photos library (downloads remote images first, asks for photo-add permission once). Localized DE/EN/FR/AR