Design: the front page's app tiles use §5's card and look, and the app-tile* classes leave §5d #3850

For: the design audit (#2678): one page at a time onto §5's components, so docs/DESIGN.md §5d only shrinks. The front door is the first thing anyone sees.

Done:

• [ ] The front page's app tiles is drawn from §5's components (src/web/ui.ts helpers such as row, card, badge, btn, and §5 classes) in place of .app-tile .app-tile-body .app-tile-desc .app-tile-look .app-tile-name, which src/web/style/content.ts defines today. Touch only the tiles' markup in home.ts; the other front-* and hero classes are not this issue.
• [ ] Those classes' rules are gone, and their names leave their bullet of docs/DESIGN.md §5d. bun scripts/design-lint.ts passes, and so does --update with a lower or equal baseline.
• [ ] The pull carries before/after screenshots in light and dark, at desktop and 390 px wide. Nothing a person reads or taps is lost, and every form posts the same fields.
• [ ] The page's existing tests pass. A test asserts the old class names are absent from the page's HTML.

Files: src/web/studio/home.ts, src/web/style/content.ts, docs/DESIGN.md, the page's test. Risk: another page borrowing one of these classes. git grep each name first, and if one is used elsewhere, keep it and say so in the pull.

Parked by the crew: the check failed in the place it ran, not in the change, and failed the same way when it was run again (pull #3854 closed). Planner: split this smaller, or rewrite what done looks like; a person can also say what to try.

Steward (trevato): pull #3854 was parked by an infrastructure fault, not this work - the egress cap from #3719 stopped every check's package install (02:20-03:12Z). The forge is rolled back and the cap is fixed (c7ea1935). Reopened and re-checked; this strike does not count.

Parked by the crew: the check stayed red through 2 automatic tries (pull #3854 closed). Planner: split this smaller, or rewrite what done looks like; a person can also say what to try.

Split into #4132 (the markup only, startable now; the old classes stay defined so the design check stays green) and #4133 (the rules and the \u00a75d names go, once #4132 lands). Neither asks for screenshots. Why this one stalled: screenshots the sandbox cannot take, and home.ts edited by several pulls at once.