# Objective
Fix panic in `run_system` when running an exclusive system wrapped in a
`PipeSystem` or `AdapterSystem`.
#18076 introduced a `System::run_without_applying_deferred` method. It
normally calls `System::run_unsafe`, but
`ExclusiveFunctionSystem::run_unsafe` panics, so it was overridden for
that type. Unfortunately, `PipeSystem::run_without_applying_deferred`
still calls `PipeSystem::run_unsafe`, which can then call
`ExclusiveFunctionSystem::run_unsafe` and panic.
## Solution
Make `ExclusiveFunctionSystem::run_unsafe` work instead of panicking.
Clarify the safety requirements that make this sound.
The alternative is to override `run_without_applying_deferred` in
`PipeSystem`, `CombinatorSystem`, `AdapterSystem`,
`InfallibleSystemWrapper`, and `InfallibleObserverWrapper`. That seems
like a lot of extra code just to preserve a confusing special case!
Remove some implementations of `System::run` that are no longer
necessary with this change. This slightly changes the behavior of
`PipeSystem` and `CombinatorSystem`: Currently `run` will call
`apply_deferred` on the first system before running the second, but
after this change it will only call it after *both* systems have run.
The new behavior is consistent with `run_unsafe` and
`run_without_applying_deferred`, and restores the behavior prior to
#11823.
The panic was originally necessary because [`run_unsafe` took
`&World`](https://github.com/bevyengine/bevy/pull/6083/files#diff-708dfc60ec5eef432b20a6f471357a7ea9bfb254dc2f918d5ed4a66deb0e85baR90).
Now that it takes `UnsafeWorldCell`, it is possible to make it work. See
also Cart's concerns at
https://github.com/bevyengine/bevy/pull/4166#discussion_r979140356,
although those also predate `UnsafeWorldCell`.
And see #6698 for a previous bug caused by this panic.
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