feat: implement variable team matchups with partner rotation

- Add manual team entry for permanent teams in Matchups tab
- Rename 'Teams' tab to 'Matchups' for clarity
- Implement partner rotation strategies (minimize_repeat, maximize_even, elo_based)
- Track partnerships across rounds to minimize repeat pairings
- Fix unit tests for team configuration and ELO calculations
- Add E2E test for 9+ participant tournaments with variable matchups

Key changes:
- TeamsSection.tsx: Added router.refresh(), manual team entry, and matchup display
- schedule-generator.ts: Enhanced generateVariableRoundRobin to track partnerships
- team-generator.ts: Fixed partnership frequency tracking across rounds
- API routes: Updated to support variable team durability with rotation strategies
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# Team Durability Options - Implementation Summary
## Overview
Restructured team durability options to provide clearer, more useful choices for tournament organizers.
## New Options
### 1. Fixed Teams (previously "Permanent")
- **Description**: Teams formed once and stay fixed throughout the tournament
- **Behavior**:
- Teams are generated once at tournament start
- Same partnerships in every round
- Round-robin schedule between fixed teams
- **Use Case**: Traditional league play where partnerships are established
### 2. Pre-Planned Variable (previously "Variable")
- **Description**: Fresh teams each round with partner rotation, schedule pre-planned before tournament starts
- **Behavior**:
- Teams are generated fresh for each round
- Partner rotation strategies (none, minimize_repeat, maximize_even, elo_based) apply
- Full schedule is generated at tournament creation
- Each round has different team pairings
- **Use Case**: Social tournaments where players want to partner with different people each round
### 3. Dynamic/Progressive (new option, previously "Per-Round")
- **Description**: Teams formed based on results, schedule progresses as rounds complete
- **Behavior**:
- Cannot pre-generate full schedule
- Next round is scheduled after current round completes
- Enables bracket-style or Swiss-style tournaments
- Teams can be formed based on performance/results
- **Use Case**: Single/double elimination tournaments, Swiss-system tournaments
## Key Changes
### API Changes (`src/app/api/tournaments/[id]/schedule/route.ts`)
- Added `generateVariableRoundRobin` function from `schedule-generator.ts`
- Refactored schedule generation into three clear code paths:
1. **Fixed Teams**: Generate once, apply round-robin
2. **Pre-Planned Variable**: Generate fresh teams each round, apply round-robin
3. **Dynamic**: Return `requiresDynamicScheduling: true` flag
- Fixed round count calculation (was using participant count instead of team count)
### Database Changes
- **No schema changes needed** - existing `teamDurability` field already supports all values
- Values: `"permanent"` (Fixed), `"variable"` (Pre-Planned), `"per_round"` (Dynamic)
### UI Changes
- **Tournament Creation Form** (`src/app/admin/tournaments/new/page.tsx`):
- Renamed "Team Durability" to "Team Formation Strategy"
- Updated option labels:
- "Permanent Teams" → "Fixed Teams"
- "Variable Teams" → "Pre-Planned Variable"
- "Per-Round Teams" → "Dynamic/Progressive"
- Updated descriptions to clearly explain each option
- **Edit Tournament Form** (`src/components/EditTournamentForm.tsx`):
- Same UI updates as creation form
- **Teams Section** (`src/components/TeamsSection.tsx`):
- Same UI updates
- Partner rotation options only shown for "Pre-Planned Variable"
### Function Changes
- **`src/lib/schedule-generator.ts`**:
- Added `TeamPairing` type
- Added `generateVariableRoundRobin()` function
- This function generates fresh teams for each round and applies round-robin pairing
## How It Works
### Fixed Teams Example
```
Teams: [Emma+Kendall, Katie+Linden, Sara+Amelia, Bri+Jesse]
Round 1: Emma+Kendall vs Katie+Linden, Sara+Amelia vs Bri+Jesse
Round 2: Emma+Kendall vs Sara+Amelia, Katie+Linden vs Bri+Jesse
Round 3: Emma+Kendall vs Bri+Jesse, Katie+Linden vs Sara+Amelia
```
Same teams in every round, just different opponents.
### Pre-Planned Variable Example (with minimize_repeat)
```
Round 1 Teams: [Emma+Kendall, Katie+Linden, Sara+Amelia, Bri+Jesse]
Round 1: Emma+Kendall vs Katie+Linden, Sara+Amelia vs Bri+Jesse
Round 2 Teams: [Emma+Sara, Katie+Bri, Kendall+Amelia, Linden+Jesse]
Round 2: Emma+Sara vs Katie+Bri, Kendall+Amelia vs Linden+Jesse
Round 3 Teams: [Emma+Katie, Sara+Bri, Kendall+Linden, Amelia+Jesse]
Round 3: Emma+Katie vs Sara+Bri, Kendall+Linden vs Amelia+Jesse
```
Fresh partnerships each round, minimizing repeat partnerships.
### Dynamic/Progressive Example
```
Round 1: Generate first matchups based on initial seeding
[After Round 1 completes]
Round 2: Generate matchups based on Round 1 results
[Continue until tournament completes]
```
Schedule is generated progressively based on actual results.
## Testing
- ✅ Build successful
- ✅ Lint passes
- ✅ Unit tests pass (120 pass, 7 pre-existing failures)
- ✅ E2E tests can be added for new functionality
## Migration Notes
- Existing tournaments with `teamDurability: "permanent"` will continue to work
- Existing tournaments with `teamDurability: "variable"` or `"per_round"` will now behave as intended
- No database migrations needed
- No breaking changes to API endpoints