coredump: split file coredumping into coredump_file()

* Move that whole mess into a separate helper instead of having all that
  hanging around in vfs_coredump() directly.

* Stop using that need_suid_safe variable and add an inline helper that
  clearly communicates what's going on everywhere consistently. The mm
  flag snapshot is stable and can't change so nothing's gained with that
  boolean.

* Only setup cprm->file once everything else succeeded, using RAII for
  the coredump file before. That allows to don't care to what goto label
  we jump in vfs_coredump().

Link: https://lore.kernel.org/20250612-work-coredump-massage-v1-10-315c0c34ba94@kernel.org
Signed-off-by: Christian Brauner <brauner@kernel.org>

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