For both Loot mode and Quest mode, I believe, the long-term limit is increased during the tear-down task, whereas with Trial mode, it is increased during build-up. This allows a slight exploit in that you can build-up in trial mode until the long-term limit is broken (which doesn't impact anything during build-up), then immediately do one or two tasks in a different mode prior to finishing build-up, and then switch back to Trial mode to do tear-down with the long-term limit unbroken. It will remain unbroken for the entirety of tear-down mode.
For both Loot mode and Quest mode, I believe, the long-term limit is increased during the tear-down task, whereas with Trial mode, it is increased during build-up. This allows a slight exploit in that you can build-up in trial mode until the long-term limit is broken (which doesn't impact anything during build-up), then immediately do one or two tasks in a different mode prior to finishing build-up, and then switch back to Trial mode to do tear-down with the long-term limit unbroken. It will remain unbroken for the entirety of tear-down mode.