Add suggestPositionShot schema types and operation

Mirrors the backend's position-play search: SuggestPositionShotInputGQL
(pot lock + target-area polygon), PositionSuggestionGQL /
PositionShotCandidateGQL / CueStrikeGQL, the Query field, and a
SuggestPositionShot operation with a shared candidate fragment. The
regenerated hooks also provide the result types the mobile app uses to
shape local (billsim) physics results.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

src/operations/recorded_shots.gql

@@ -0,0 +1,38 @@
+# Lightweight two-step picker data for loading a recorded shot into Shot Lab.
+query GetRecordedStreams($limit: Int! = 25) {
+  getFeedVideos(
+    limit: $limit
+    filters: { isStreamCompleted: true, excludeVideosWithNoShots: true }
+    includePrivate: MINE
+    feedInput: { allUsers: true }
+  ) {
+    videos {
+      id
+      name
+      createdAt
+      screenshotUri
+      framesPerSecond
+      totalShots
+      owner {
+        id
+        username
+        profileImageUri
+      }
+    }
+  }
+}
+
+query GetRecordedStreamShots($videoId: Int!, $limit: Int! = 200) {
+  getOrderedShots(
+    filterInput: { videoId: [$videoId] }
+    shotsOrdering: { orderings: [{ startFrame: { descending: false } }] }
+    limit: $limit
+  ) {
+    shots {
+      id
+      videoId
+      startFrame
+      endFrame
+    }
+  }
+}

src/operations/shot_simulation.gql

@@ -24,8 +24,19 @@ query GetLiveTableState($videoId: Int!) {
       identifierToColor {
         hex
       }
-      homography {
-        ...HomographyInfo
+    }
+  }
+}
+
+query GetShotTableState($shotId: Int!) {
+  getShotTableState(shotId: $shotId) {
+    shotId
+    videoId
+    frameIndex
+    tableState {
+      identifierToPosition
+      identifierToColor {
+        hex
       }
     }
   }
@@ -74,3 +85,53 @@ query ComputePotAim(
     occludingBallIds
   }
 }
+
+fragment PositionShotCandidate on PositionShotCandidateGQL {
+  strike {
+    v0
+    phi
+    theta
+    a
+    b
+  }
+  cueFinalPosition
+  inTargetArea
+  distanceToTargetArea
+  robustness
+  potted
+  scratched
+  projection {
+    trajectories {
+      ballId
+      points {
+        time
+        position
+      }
+    }
+    events {
+      eventType
+      time
+      ballIds
+      position
+    }
+    finalState {
+      ballId
+      position
+    }
+    pottedBallIds
+  }
+}
+
+query SuggestPositionShot($suggestionInput: SuggestPositionShotInputGQL!) {
+  suggestPositionShot(suggestionInput: $suggestionInput) {
+    achievable
+    evaluatedCount
+    successfulCount
+    best {
+      ...PositionShotCandidate
+    }
+    alternates {
+      ...PositionShotCandidate
+    }
+  }
+}

src/operations/usage_stats.gql

@@ -12,13 +12,6 @@ query getUsageStats($days: Int! = 30) {
       retentionPrevActive
       retentionReturned
     }
-    cohorts {
-      weekStart
-      signups
-      activated7d
-      paid7d
-      activatedNotPaid7d
-    }
     totalUsers
     totalVideos
     totalShots

src/schema.gql

@@ -80,6 +80,9 @@ type Query {
     targetBallId: Int!
     pocket: PocketIdentifier!
   ): PotAimGQL!
+  suggestPositionShot(
+    suggestionInput: SuggestPositionShotInputGQL!
+  ): PositionSuggestionGQL!
   getOrderedShots(
     filterInput: FilterInput!
     ids: [Int!] = null
@@ -1143,6 +1146,44 @@ type PotAimGQL {
   occludingBallIds: [Int!]!
 }
 
+type PositionSuggestionGQL {
+  achievable: Boolean!
+  best: PositionShotCandidateGQL
+  alternates: [PositionShotCandidateGQL!]!
+  evaluatedCount: Int!
+  successfulCount: Int!
+}
+
+type PositionShotCandidateGQL {
+  strike: CueStrikeGQL!
+  cueFinalPosition: [Float!]!
+  inTargetArea: Boolean!
+  distanceToTargetArea: Float!
+  robustness: Int!
+  potted: Boolean!
+  scratched: Boolean!
+  projection: ShotProjectionGQL
+}
+
+type CueStrikeGQL {
+  v0: Float!
+  phi: Float!
+  theta: Float!
+  a: Float!
+  b: Float!
+}
+
+input SuggestPositionShotInputGQL {
+  cueBallId: Int!
+  targetBallId: Int!
+  pocket: PocketIdentifier!
+  targetArea: [[Float!]!]!
+  balls: [SimulationBallStateInputGQL!] = null
+  b64Image: String = null
+  useHomography: HomographyInputGQL = null
+  tableSize: Float = null
+}
+
 type GetShotsResult {
   shots: [ShotGQL!]!
   count: Int
@@ -1183,7 +1224,6 @@ type UsageStatsGQL {
   totalVideos: Int!
   totalShots: Int!
   totalRuns: Int!
-  cohorts: [CohortStatsGQL!]!
   windows: [UsageStatsWindowGQL!]!
   daily: [UsageStatsDailyGQL!]!
   processingLast24h: [ProcessingStatusCountGQL!]!
@@ -1202,14 +1242,6 @@ type FunnelStatsGQL {
   retentionReturned: Int!
 }
 
-type CohortStatsGQL {
-  weekStart: Date!
-  signups: Int!
-  activated7d: Int!
-  paid7d: Int!
-  activatedNotPaid7d: Int!
-}
-
 type UsageStatsWindowGQL {
   label: String!
   newUsers: Int!