Keep a record of each run's tool calls so bots can't claim work they never did

The wrap-up turn now gets the run's actual tool calls, each bot message
keeps them as bot_messages.tool_log, and history follows recorded bot
messages with an [App record] line. The coordinator also gets update_bot
in workspaces, so it can fill a bot's core prompt from there.

Co-Authored-By: Claude Opus 5.5 <[email protected]>

db/schema.ts

@@ -452,6 +452,11 @@ const schema: BUN_SQLITE_DatabaseSchemaType = {
                     fieldDescription: `The message this one replies to, quoted above it. Not a foreign key, so deleting the quoted message only drops the quote`,
                     dataType: "INTEGER",
                 },
+                {
+                    fieldName: "tool_log",
+                    fieldDescription: `JSON \`[{ name, ok }]\`: every tool call the run behind a bot message made (names only, never arguments), told to the bot with the message in later turns so it can't build on work it never did. Null: not recorded (user messages, interim ones, older messages)`,
+                    dataType: "TEXT",
+                },
             ],
             indexes: [
                 {