Fetch shot paths and features for the Shot Lab picker

The recorded-shot picker now renders per-shot table diagrams, so
GetRecordedStreamShots needs serializedShotPaths plus the pocketing and
cue-object features that PlaneShotDiagram consumes.

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

src/operations/recorded_shots.gql

@@ -0,0 +1,62 @@
+# 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
+      serializedShotPaths {
+        b64EncodedBuffer
+      }
+      cueObjectFeatures {
+        cueObjectDistance
+        cueObjectAngle
+        cueBallSpeed
+        shotDirection
+        spinType
+      }
+      pocketingIntentionFeatures {
+        make
+        targetPocketDistance
+        targetPocketAngle
+        targetPocketAngleDirection
+        marginOfErrorInDegrees
+        intendedPocketType
+        difficulty
+      }
+      pocketingIntentionInfo {
+        ballId
+        pocketId
+        pathMetadataIndex
+      }
+    }
+  }
+}

src/operations/shot_simulation.gql

@@ -9,6 +9,9 @@ query GetTableState(
     useHomography: $useHomography
   ) {
     identifierToPosition
+    identifierToColor {
+      hex
+    }
   }
 }
 
@@ -18,8 +21,22 @@ query GetLiveTableState($videoId: Int!) {
     frameIndex
     tableState {
       identifierToPosition
-      homography {
+      identifierToColor {
-        ...HomographyInfo
+        hex
+      }
+    }
+  }
+}
+
+query GetShotTableState($shotId: Int!) {
+  getShotTableState(shotId: $shotId) {
+    shotId
+    videoId
+    frameIndex
+    tableState {
+      identifierToPosition
+      identifierToColor {
+        hex
       }
     }
   }

src/operations/usage_stats.gql

@@ -1,5 +1,17 @@
 query getUsageStats($days: Int! = 30) {
   getUsageStats(days: $days) {
+    funnel {
+      freemiumEpoch
+      eraSignups
+      eraPaying
+      activationCohort
+      activationActivated
+      payingUsers
+      newPaid7d
+      newPaid30d
+      retentionPrevActive
+      retentionReturned
+    }
     totalUsers
     totalVideos
     totalShots

src/schema.gql

@@ -73,6 +73,7 @@ type Query {
     useHomography: HomographyInputGQL = null
   ): TableStateGQL!
   getLiveTableState(videoId: Int!): LiveTableStateGQL!
+  getShotTableState(shotId: Int!): ShotTableStateGQL!
   simulateShot(simulationInput: SimulateShotInputGQL!): ShotProjectionGQL!
   computePotAim(
     simulationInput: SimulateShotInputGQL!
@@ -609,7 +610,7 @@ type VideoTagClass {
 }
 
 type HomographyInfoGQL {
-  id: Int!
+  id: Int
   frameIndex: Int!
   crop: BoundingBoxGQL!
   pockets: [BoundingBoxGQL!]!
@@ -1065,6 +1066,13 @@ type LiveTableStateGQL {
   tableState: TableStateGQL!
 }
 
+type ShotTableStateGQL {
+  shotId: Int!
+  videoId: Int!
+  frameIndex: Int!
+  tableState: TableStateGQL!
+}
+
 type ShotProjectionGQL {
   trajectories: [BallTrajectoryGQL!]!
   events: [SimulationEventGQL!]!
@@ -1170,6 +1178,7 @@ input CreatedAfter @oneOf {
 }
 
 type UsageStatsGQL {
+  funnel: FunnelStatsGQL!
   totalUsers: Int!
   totalVideos: Int!
   totalShots: Int!
@@ -1179,6 +1188,19 @@ type UsageStatsGQL {
   processingLast24h: [ProcessingStatusCountGQL!]!
 }
 
+type FunnelStatsGQL {
+  freemiumEpoch: Date!
+  eraSignups: Int!
+  eraPaying: Int!
+  activationCohort: Int!
+  activationActivated: Int!
+  payingUsers: Int!
+  newPaid7d: Int!
+  newPaid30d: Int!
+  retentionPrevActive: Int!
+  retentionReturned: Int!
+}
+
 type UsageStatsWindowGQL {
   label: String!
   newUsers: Int!