This reverts commit 58944e6b.

Limit 10 second future modification-date in integration test to only where required for reloads (#91300)

This prevents all of the `flutter run` calls immediately re-running `flutter pub get` when it has already been run by test setup code.

This is to avoid problems when updating the version of android sdk.

Bug: https://github.com/flutter/flutter/issues/83055