[area:shadcn] bottom nav rebuild, remove daisyui plugin and dead MUI deps

[fray-cloud]

Scope

• apps/web/src/new-component/bottom/** — Bottom nav rebuild in shadcn
• apps/web/tailwind.config.{js,ts} — remove daisyui plugin
• package.json — remove daisyui, @mui/joy, @mui/x-date-pickers (and any transitive MUI deps with zero remaining imports)
• Replace @mui/x-date-pickers usage with shadcn Calendar + Popover DatePicker recipe (npx shadcn@latest add calendar popover)
• Any last stragglers found by git grep -n "daisy\|@mui/joy\|x-date-pickers"

Acceptance

• npx nx affected -t lint test build green
• git grep -n "daisyui\|btn-\|navbar\|card-body\|progress-primary\|select-bordered" apps/web/src returns nothing
• git grep -n "@mui/joy\|@mui/x-date-pickers" apps/web/src returns nothing
• daisyui, @mui/joy, @mui/x-date-pickers removed from package.json
• pnpm/npm install clean, no orphaned peer warnings
• No daisyUI plugin loaded by Tailwind

Depends on

• [area:shadcn] search Select — Radix Select + rhf Controller #53

Research

• context7: shadcn Calendar + Popover DatePicker pattern
• fallback: https://ui.shadcn.com/docs/components/date-picker

Risk

high — final cleanup PR. A single missed daisyUI class blocks the removal; the date picker swap has behavior surface (range selection).

Steps

1. Rebuild Bottom nav using shadcn Button + icons.
2. Add shadcn Calendar + Popover; implement DatePicker recipe; swap @mui/x-date-pickers usages.
3. Run git grep checks for every daisyUI class token and every MUI Joy import.
4. Remove daisyui from tailwind.config plugins array.
5. Remove daisyui, @mui/joy, @mui/x-date-pickers from package.json; reinstall.
6. npx nx affected -t lint test build e2e.