test: fix log headers (#5222)

* test: fix log headers

* ensure just public types are tested

* fix(postgres): proper statements for setup step 7

---------

Co-authored-by: adlerhurst <silvan.reusser@gmail.com>

cmd/setup/07/postgres/execution.sql

@@ -0,0 +1,11 @@
+CREATE TABLE IF NOT EXISTS logstore.execution (
+    log_date TIMESTAMPTZ NOT NULL
+    , took INTERVAL
+    , message TEXT NOT NULL
+    , loglevel INT NOT NULL
+    , instance_id TEXT NOT NULL
+    , action_id TEXT NOT NULL
+    , metadata JSONB
+);
+
+CREATE INDEX log_date_desc ON logstore.execution (instance_id, log_date DESC) INCLUDE (took);