Cloud: scene store tabs, one frames page, single-row mobile search bar

[mariusandra]

Summary

• Frames home (mobile): the search box and the + button stay on one row at every width. The top bar stacked below the @md container breakpoint, leaving a tall empty band at the top of frames-home--default--light--mobile.png. The visual snapshot needs regenerating by CI.
• Scene store tabs: "Public scene store" / "My private scenes" (StoreTabs.tsx, shown when signed in). The private list — filters, zip upload, make public/private, delete — moved from /account/scenes (alias /scenes) to /my-scenes on the scenes host, inside the store shell. Old URLs redirect from every host; the store front no longer renders the private-scenes block.
• One frames page: /account/frames redirects to the /frames workspace (it already confirms pending enrollments via the banner and revokes via delete). AccountNav drops the frames/scenes tabs, the account layout stops counting them, and /account lands on Backends.
• Root → /frames: on the prod cloud/account hosts via the surface router (was /backends). In the single-origin dev setup the store front now answers at /store (store links/pager/search form build from getStorePath()), so localhost:3000/ redirects to /frames while the store stays reachable.
• Tabs pulled up under the header (.subnav--store) so there is no double spacing above/below them.

Test plan

• auth-web tsc, eslint --max-warnings=0, vitest run (802 tests)
• store.integration.test.ts against the local DB (23 tests; renders the new /my-scenes page)
• Dev server: / → 307 /frames, /store 200, /scenes → /my-scenes, /my-scenes signed-out → login with return_to, /account/frames → gate//frames
• frontend tsc + prettier
• CI regenerates the mobile frames-home visual snapshot

🤖 Generated with Claude Code

https://claude.ai/code/session_01W8Es86j3NLobPEDcRQYt6Q