Adding Tirpitz changes the entire Atlantic interception plan

What changes if Tirpitz sails with Bismarck before Bismarck's last battle?

Britain deploys a much larger force with multiple battleships and carriers, so the encounter no longer resembles Bismarck's historical last battle; Germany gains more by dispersing simultaneous raiders than by presenting one concentrated target.

The Royal Navy assembled its historical interception force for Bismarck and Prinz Eugen, so intelligence that two German capital ships were breaking out would change the British deployment from the start. King George V, Prince of Wales, Hood, and Victorious could form a fast group, with Rodney, Renown, and Ark Royal contributing through another concentration. British carrier strikes would still aim to slow or disable the German ships before a surface action. From the German perspective, concentrating every major unit in one formation only lets the Royal Navy concentrate more efficiently; a more dangerous strategy disperses battleships, battlecruisers, and heavy cruisers across several routes to pull British forces apart. Even that plan depends on synchronizing fuel, repairs, and movements while British intelligence and bombing attack the rail yards and tank trains needed to make the breakout possible.