Show only native databases users can use (#39167)

Fixes #39053.

e2e/test/scenarios/native/native-database-source.cy.spec.js

@@ -161,7 +161,7 @@ describe(
       });
     });
 
-    it.skip("users with no native write permissions should be able to choose only the databases they can query against (metabase#39053)", () => {
+    it("users with no native write permissions should be able to choose only the databases they can query against (metabase#39053)", () => {
       cy.signIn("nosql");
 
       startNativeQuestion();

frontend/src/metabase/query_builder/components/NativeQueryEditor/DataSourceSelectors/DataSourceSelectors.jsx

@@ -65,7 +65,8 @@ const DataSourceSelectors = ({
   const databases = useMemo(() => {
     const allDatabases = query
       .metadata()
-      .databasesList({ savedQuestions: false });
+      .databasesList({ savedQuestions: false })
+      .filter(db => db.canWrite());
 
     if (editorContext === "action") {
       return allDatabases.filter(database => database.hasActionsEnabled());