feat(core): make some tabs in sidebar persistent for all docs page (#10014)

close AF-2164

![CleanShot 2025-02-07 at 14.23.36.gif](https://graphite-user-uploaded-assets-prod.s3.amazonaws.com/LakojjjzZNf6ogjOVwKE/deb15a06-32e9-40bf-8a15-07a3c2fa8227.gif)

packages/frontend/component/src/ui/date-picker/calendar/calendar.tsx

@@ -49,7 +49,11 @@ export const DatePicker = (props: DatePickerProps) => {
   }, []);
 
   return (
-    <div className={styles.calendarRoot} style={variables}>
+    <div
+      className={styles.calendarRoot}
+      style={variables}
+      data-testid="date-picker-calendar"
+    >
       <Component
         cursor={cursor}
         {...finalProps}