Pass-through selection allows select-drag not to activate an already
selected object - so an existing selection can be dragged without
changing the active/selection (see #96544) & [0],
This caused entering pose-mode to fail when selecting an armature
with "Lock Object Modes" disabled.
There is a logical conflict where pass-through is intended to keep the
current selection & active, which doesn't make sense when selecting the
armature should enter pose-mode (details in code-comments).
Resolve by disabling pass-through when the select action changes
the objects mode.
[0]: 618f39fca2
09bd046975