feat: dashboard maps the activity, follows a ticket's way and the proposals

Three more blocks on the project dashboard, also by REST, GraphQL and
MCP:
- Activity: what moved each day of the last 12 weeks, in a heatmap,
  with the busiest weekday and the longest lull.
- A ticket's way: for the tickets done in the last 90 days, where the
  time from created to done went, status by status (waiting included),
  and how much of it was work (flow efficiency).
- The public's proposals: received, waiting, under way, done and
  discarded, and the most voted still unanswered.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

apps/api/openapi.json

@@ -13403,6 +13403,142 @@
           "none"
         ]
       },
+      "ActivityDayDto": {
+        "type": "object",
+        "properties": {
+          "day": {
+            "type": "string",
+            "example": "2026-10-15"
+          },
+          "count": {
+            "type": "number"
+          }
+        },
+        "required": [
+          "day",
+          "count"
+        ]
+      },
+      "JourneyStepDto": {
+        "type": "object",
+        "properties": {
+          "status": {
+            "type": "string",
+            "description": "Status id of the project settings"
+          },
+          "days": {
+            "type": "number",
+            "description": "Average days a closed ticket spent in it"
+          },
+          "share": {
+            "type": "number",
+            "description": "Its part of the whole lead time, 0-100"
+          }
+        },
+        "required": [
+          "status",
+          "days",
+          "share"
+        ]
+      },
+      "JourneyDto": {
+        "type": "object",
+        "properties": {
+          "samples": {
+            "type": "number",
+            "description": "Tickets done in the last 90 days"
+          },
+          "leadDays": {
+            "type": "number",
+            "nullable": true
+          },
+          "flowEfficiency": {
+            "type": "number",
+            "nullable": true,
+            "description": "Part of the lead time in an in-progress status, 0-100"
+          },
+          "steps": {
+            "type": "array",
+            "items": {
+              "$ref": "#/components/schemas/JourneyStepDto"
+            }
+          }
+        },
+        "required": [
+          "samples",
+          "leadDays",
+          "flowEfficiency",
+          "steps"
+        ]
+      },
+      "WaitingProposalDto": {
+        "type": "object",
+        "properties": {
+          "id": {
+            "type": "string"
+          },
+          "key": {
+            "type": "string"
+          },
+          "title": {
+            "type": "string"
+          },
+          "votes": {
+            "type": "number"
+          },
+          "days": {
+            "type": "number",
+            "description": "Days since it came in"
+          }
+        },
+        "required": [
+          "id",
+          "key",
+          "title",
+          "votes",
+          "days"
+        ]
+      },
+      "ProposalsFunnelDto": {
+        "type": "object",
+        "properties": {
+          "received": {
+            "type": "number"
+          },
+          "receivedLately": {
+            "type": "number",
+            "description": "In the last 30 days"
+          },
+          "waiting": {
+            "type": "number",
+            "description": "Open, not started, in no sprint nor release"
+          },
+          "underWay": {
+            "type": "number"
+          },
+          "done": {
+            "type": "number"
+          },
+          "discarded": {
+            "type": "number"
+          },
+          "topWaiting": {
+            "type": "array",
+            "items": {
+              "$ref": "#/components/schemas/WaitingProposalDto"
+            }
+          }
+        },
+        "required": [
+          "received",
+          "receivedLately",
+          "waiting",
+          "underWay",
+          "done",
+          "discarded",
+          "topWaiting"
+        ]
+      },
       "ProjectInsightsDto": {
         "type": "object",
         "properties": {
@@ -13464,6 +13600,26 @@
             "items": {
               "$ref": "#/components/schemas/FieldBreakdownDto"
             }
+          },
+          "heatmap": {
+            "description": "The last 12 weeks from a Monday, oldest first (84 days)",
+            "type": "array",
+            "items": {
+              "$ref": "#/components/schemas/ActivityDayDto"
+            }
+          },
+          "journey": {
+            "$ref": "#/components/schemas/JourneyDto"
+          },
+          "proposals": {
+            "nullable": true,
+            "description": "Null while the project has never had a proposal",
+            "type": "object",
+            "allOf": [
+              {
+                "$ref": "#/components/schemas/ProposalsFunnelDto"
+              }
+            ]
           }
         },
         "required": [
@@ -13477,7 +13633,10 @@
           "team",
           "backlog",
           "quality",
-          "fields"
+          "fields",
+          "heatmap",
+          "journey",
+          "proposals"
         ]
       },
       "ActivityDto": {