  We monitor the correlated quench induced dynamical dressing of a spinor
impurity repulsively interacting with a Bose-Einstein condensate. Inspecting
the temporal evolution of the structure factor three distinct dynamical regions
arise upon increasing the interspecies interaction. These regions are found to
be related to the segregated nature of the impurity and to the ohmic character
of the bath. It is shown that the impurity dynamics can be described by an
effective potential that deforms from a harmonic to a double-well one when
crossing the miscibility-immiscibility threshold. In particular, for miscible
components the polaron formation is imprinted on the spectral response of the
system. We further illustrate that for increasing interaction an orthogonality
catastrophe occurs and the polaron picture breaks down. Then a dissipative
motion of the impurity takes place leading to a transfer of energy to its
environment. This process signals the presence of entanglement in the many-body
system.
