feat(V2-3차): pull 확장 + invite flow + Realtime + 테스트 + mobile UI 교체

묶음 E — V2-4b pull 확장:
- CloudSyncService.pullAll()에 meetings/meeting_memos/meeting_documents 추가
- meetings: LWW, 모든 컬럼 매핑 (minutes_json JSON 직렬화)
- meeting_memos: immutable INSERT-only 전략
- meeting_documents: LWW UPDATE

묶음 F — api-client types:
- interface -> type alias 전환 (11개)
- Database 타입에 TypedTable<Row, Insert, Update> 유틸 도입
  (Row & Record<string, unknown> 교차로 GenericTable 제약 만족)
- @supabase/ssr 2.102는 supabase-js 버전 불일치로 제네릭 주입 불가 -
  다음 사이클로 이월, api-client index.ts는 types만 재수출

묶음 G — apps/mobile UI 교체:
- login.tsx: MetalCard + PhosphorText(hero/label) + PhysicalButton
- meetings.tsx: MetalCard + Led(status) + PhosphorText(body/meta)
- record.tsx: Led + PhosphorText + PhysicalButton
- profile.tsx: MetalCard + PhysicalButton(danger) + d3roNativePalette

묶음 H — V2-7b 이메일 invite flow:
- migrations/20260410000001_team_invites.sql
  - team_invites 테이블 (token, email, role, expires_at 7일)
  - RLS: 같은 팀 멤버 + 초대 이메일 소유자 SELECT,
    owner/admin만 INSERT/DELETE
  - generate_invite_token() SECURITY DEFINER RPC (service_role)
- functions/team-invite: 권한 체크 -> 토큰 생성 -> 초대 URL 반환
- functions/team-accept: 토큰 검증 -> expires_at/accepted_at/이메일 일치 ->
  team_members upsert -> 초대 accepted 표시
- config.toml에 team-invite/team-accept 함수 등록
- InviteMemberForm 재작성: 이메일 입력 + 역할 선택 -> URL 복사 UI
- /accept-invite 페이지 신규 (Suspense 내 useSearchParams + token 수락)

묶음 I — Realtime transcripts:
- apps/web/components/meetings/live-transcript-list.tsx (client)
  - supabase.channel('transcripts:meeting:${id}').on('postgres_changes')
  - INSERT -> 세그먼트 추가, UPDATE -> row 교체
  - 중복 방지 segment_index 기준
  - edited 배지 표시
- meetings/[id]/page.tsx의 transcript 섹션을 LiveTranscriptList로 교체

묶음 J — 테스트:
- packages/api-client/__tests__/client.test.ts (9 tests)
  - createD3roSupabaseClient, isClientConfigured 팩토리 검증
- packages/api-client/__tests__/types.test.ts (10 tests)
  - 모든 Row 타입 + 리터럴 union + Database keyof
- vitest.config.ts 신규
- apps/web/playwright.config.ts 신규 (baseURL, webServer dev 서버)
- apps/web/e2e/smoke.spec.ts 신규 (6 스모크 테스트)
- apps/web tsconfig exclude에 e2e/playwright.config.ts 추가
- package.json scripts: test, test:e2e, test:e2e:ui

검증:
- desktop typecheck OK
- web typecheck OK
- web next build OK (12 라우트, /accept-invite Suspense 적용)
- desktop build OK
- api-client test 19 passed

apps/web/src/components/teams/invite-member-form.tsx

@@ -1,49 +1,110 @@
 'use client'
 
 // apps/web/src/components/teams/invite-member-form.tsx
-// 팀 멤버 초대 — 이메일로 초대 (현재 MVP는 user_id 직접 입력)
-// 정식 초대 flow는 V2-7b에서 구현 (Supabase function + 이메일 발송)
+// 팀 멤버 초대 — 이메일 기반 (V2-7b).
+// Edge Function team-invite로 토큰 발급 → 초대 URL 반환 → 클라이언트가 복사/공유.
 
 import { useState } from 'react'
-import { useRouter } from 'next/navigation'
-import { Box, Button, TextField, Stack, Alert, Dialog, DialogContent, DialogTitle } from '@mui/material'
+import {
+  Box,
+  Button,
+  TextField,
+  Stack,
+  Alert,
+  Dialog,
+  DialogContent,
+  DialogTitle,
+  Select,
+  MenuItem,
+  FormControl,
+  InputLabel,
+  IconButton,
+  Tooltip
+} from '@mui/material'
 import PersonAddIcon from '@mui/icons-material/PersonAdd'
+import ContentCopyIcon from '@mui/icons-material/ContentCopy'
 import { getSupabaseBrowserClient } from '@/lib/supabase-browser'
 
 interface InviteMemberFormProps {
   teamId: string
 }
 
+interface InviteResult {
+  id: string
+  url: string
+  expires_at: string
+}
+
 export function InviteMemberForm({ teamId }: InviteMemberFormProps): React.ReactElement {
-  const router = useRouter()
   const [open, setOpen] = useState(false)
-  const [userId, setUserId] = useState('')
+  const [email, setEmail] = useState('')
+  const [role, setRole] = useState<'admin' | 'member'>('member')
   const [error, setError] = useState<string | null>(null)
   const [busy, setBusy] = useState(false)
+  const [result, setResult] = useState<InviteResult | null>(null)
+  const [copied, setCopied] = useState(false)
 
   async function handleInvite(): Promise<void> {
-    if (!userId.trim()) return
+    if (!email.trim()) return
     setError(null)
     setBusy(true)
     try {
       const supabase = getSupabaseBrowserClient()
-      const { error: insertErr } = await supabase
-        .from('team_members')
-        .insert({ team_id: teamId, user_id: userId.trim(), role: 'member' })
-
-      if (insertErr) {
-        setError(insertErr.message)
+      const {
+        data: { session }
+      } = await supabase.auth.getSession()
+      if (!session) {
+        setError('로그인이 필요합니다')
         return
       }
 
-      setUserId('')
-      setOpen(false)
-      router.refresh()
+      const response = await fetch(
+        `${process.env.NEXT_PUBLIC_SUPABASE_URL}/functions/v1/team-invite`,
+        {
+          method: 'POST',
+          headers: {
+            Authorization: `Bearer ${session.access_token}`,
+            'Content-Type': 'application/json'
+          },
+          body: JSON.stringify({ team_id: teamId, email: email.trim(), role })
+        }
+      )
+
+      if (!response.ok) {
+        const errData = (await response.json()) as { error?: string; message?: string }
+        setError(errData.message ?? errData.error ?? `실패: ${response.status}`)
+        return
+      }
+
+      const data = (await response.json()) as InviteResult
+      setResult(data)
+    } catch (e) {
+      setError(e instanceof Error ? e.message : 'Unknown error')
     } finally {
       setBusy(false)
     }
   }
 
+  async function handleCopy(): Promise<void> {
+    if (!result) return
+    try {
+      await navigator.clipboard.writeText(result.url)
+      setCopied(true)
+      setTimeout(() => setCopied(false), 2000)
+    } catch {
+      // clipboard 차단 시 무시
+    }
+  }
+
+  function handleClose(): void {
+    setOpen(false)
+    setEmail('')
+    setRole('member')
+    setError(null)
+    setResult(null)
+    setCopied(false)
+  }
+
   return (
     <>
       <Button
@@ -55,41 +116,78 @@ export function InviteMemberForm({ teamId }: InviteMemberFormProps): React.React
         멤버 초대
       </Button>
 
-      <Dialog open={open} onClose={() => setOpen(false)} maxWidth="sm" fullWidth>
+      <Dialog open={open} onClose={handleClose} maxWidth="sm" fullWidth>
         <DialogTitle>멤버 초대</DialogTitle>
         <DialogContent>
-          <Stack spacing={2} sx={{ mt: 1 }}>
-            <Box sx={{ fontSize: 12, color: 'text.secondary' }}>
-              MVP 단계에서는 user_id를 직접 입력합니다. 정식 초대 링크 / 이메일 발송은 V2-7b에서
-              지원 예정입니다.
-            </Box>
-            <TextField
-              label="User ID (UUID)"
-              size="small"
-              value={userId}
-              onChange={(e) => setUserId(e.target.value)}
-              placeholder="00000000-0000-0000-0000-000000000000"
-              fullWidth
-              autoFocus
-            />
-            {error && (
-              <Alert severity="error" variant="outlined">
-                {error}
-              </Alert>
-            )}
-            <Stack direction="row" spacing={1} justifyContent="flex-end">
-              <Button onClick={() => setOpen(false)} disabled={busy}>
-                취소
-              </Button>
-              <Button
-                variant="contained"
-                onClick={() => void handleInvite()}
-                disabled={busy || !userId.trim()}
-              >
-                초대
-              </Button>
+          {!result ? (
+            <Stack spacing={2} sx={{ mt: 1 }}>
+              <Box sx={{ fontSize: 12, color: 'text.secondary' }}>
+                초대할 사용자의 이메일을 입력하세요. 발급된 초대 URL을 복사해서 공유할 수
+                있습니다 (자동 이메일 발송은 V2-7c에서 지원).
+              </Box>
+              <TextField
+                label="이메일"
+                type="email"
+                size="small"
+                value={email}
+                onChange={(e) => setEmail(e.target.value)}
+                placeholder="example@d3ro.dev"
+                fullWidth
+                autoFocus
+              />
+              <FormControl size="small" fullWidth>
+                <InputLabel>역할</InputLabel>
+                <Select value={role} label="역할" onChange={(e) => setRole(e.target.value as 'admin' | 'member')}>
+                  <MenuItem value="member">Member</MenuItem>
+                  <MenuItem value="admin">Admin</MenuItem>
+                </Select>
+              </FormControl>
+              {error && (
+                <Alert severity="error" variant="outlined">
+                  {error}
+                </Alert>
+              )}
+              <Stack direction="row" spacing={1} justifyContent="flex-end">
+                <Button onClick={handleClose} disabled={busy}>
+                  취소
+                </Button>
+                <Button
+                  variant="contained"
+                  onClick={() => void handleInvite()}
+                  disabled={busy || !email.trim()}
+                >
+                  초대 생성
+                </Button>
+              </Stack>
             </Stack>
-          </Stack>
+          ) : (
+            <Stack spacing={2} sx={{ mt: 1 }}>
+              <Alert severity="success" variant="outlined">
+                초대 생성 완료. 아래 링크를 공유하세요.
+              </Alert>
+              <Box sx={{ display: 'flex', alignItems: 'center', gap: 1 }}>
+                <TextField
+                  size="small"
+                  value={result.url}
+                  fullWidth
+                  slotProps={{
+                    input: { readOnly: true }
+                  }}
+                />
+                <Tooltip title={copied ? '복사됨' : '링크 복사'}>
+                  <IconButton onClick={() => void handleCopy()}>
+                    <ContentCopyIcon fontSize="small" />
+                  </IconButton>
+                </Tooltip>
+              </Box>
+              <Box sx={{ fontSize: 11, color: 'text.secondary' }}>
+                만료: {new Date(result.expires_at).toLocaleString('ko-KR')}
+              </Box>
+              <Stack direction="row" spacing={1} justifyContent="flex-end">
+                <Button onClick={handleClose}>닫기</Button>
+              </Stack>
+            </Stack>
+          )}
         </DialogContent>
       </Dialog>
     </>