Add freemium epoch + era conversion to funnel

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

src/operations/shot_simulation.gql

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

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

@@ -1170,6 +1170,7 @@ input CreatedAfter @oneOf {
 }
 
 type UsageStatsGQL {
+  funnel: FunnelStatsGQL!
   totalUsers: Int!
   totalVideos: Int!
   totalShots: Int!
@@ -1179,6 +1180,19 @@ 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!