Password reset by email

"Forgot your password?" on web and mobile sends a one-time link (1 hour)
to the account's email; the website's reset page sets the new password,
signs out every other session and signs in. The request responds the same
whether or not the email has an account, and the email goes out in the
background so timing doesn't reveal it either. Only a hash of the link
token is stored. Sends through SMTP_* settings; without them, emails are
logged (and captured in tests).

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01MzFywujuH9TiuXbr9vjoX8

apps/api/src/db/schema.ts

@@ -238,6 +238,21 @@ export const featuredSongs = pgTable('featured_songs', {
     .default(sql`now()`),
 });
 
+/** One-time password reset links. Only a hash of the token is stored. */
+export const passwordResets = pgTable(
+  'password_resets',
+  {
+    id: text('id').primaryKey(),
+    userId: uuid('user_id')
+      .notNull()
+      .references(() => users.id, { onDelete: 'cascade' }),
+    expiresAt: timestamp('expires_at', { withTimezone: true }).notNull(),
+    usedAt: timestamp('used_at', { withTimezone: true }),
+    createdAt: createdAt(),
+  },
+  (t) => [index('password_resets_user_idx').on(t.userId)],
+);
+
 const bytea = customType<{ data: Buffer }>({ dataType: () => 'bytea' });
 
 /** Profile pictures, already resized and re-encoded (WebP, metadata stripped). */