It took around 30 hours for emergency teams to be able to reach Philip Goodeve-Docker's team and airlift them to safety but Mr Goodeve-Docker died before their arrival.
The London events manager was on the unsupported crossing with experienced expedition leader Roan Hackney and Andy Norman, a former IT professional, who both remain in a "critical condition" in hospital.
More top news
Sir Bruce entertained audiences for more than seven decades.
Work in the tower will also pause over the bank holiday weekend.
The attacker grabbed her dog lead wrapped it round her neck and started to strangle her before running away.