feat(hackathon): improve team member count display and submission verification

- Fix browse teams page to use member_count from API response
- Add member_count field to TTeamItem type
- Add minimum team members requirement (2) for project submission
- Add type-to-confirm verification before final submission

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

libs/service/src/types/teams/index.ts

@@ -36,6 +36,7 @@ export type TTeamItem = {
   city: string;
   visibility: ETeamVisibility;
   leader_id: string;
+  member_count: number;
   created_at: string;
   updated_at: string;
 };
@@ -43,7 +44,6 @@ export type TTeamItem = {
 export type TTeamDetailItem = TTeamItem & {
   leader: TUserItem;
   members: TTeamMemberItem[];
-  member_count: number;
   has_submission: boolean;
 };