The TMP Klingon bridge was cut up and changed for TWOK. The superstructure became the torpedo bay, instantly recognizable because of the giant "shock absorbers". It probably stood in the same place because the Klingon bridge had a sunken area in front of the Captain which corresponds with the torpedo run in TWOK. They probably build the set over a pit in one of the stages to allow this.
The walls from the back room of the Klingon bridge was turned into the "radiation room" that Spock croaked in, as is apparent front the trapezoidal Klingon style screens in that room.
As Klingon structure in TMP
As torpedo bay stucture in TWOK (note the curved railing as the back)
Back room walls of Klingon bridge in TMP (note the railing)
Repurposed as radiation room in TWOK
The walls from the back room of the Klingon bridge was turned into the "radiation room" that Spock croaked in, as is apparent front the trapezoidal Klingon style screens in that room.
As Klingon structure in TMP
As torpedo bay stucture in TWOK (note the curved railing as the back)
Back room walls of Klingon bridge in TMP (note the railing)
Repurposed as radiation room in TWOK