The third mission in the Earth Alliance's story looks fairly intimidating at first but can be broken down into goal phases to make it easier to handle, starting out you want to target the Blitz Gundam, while the Buster will be doing more damage to the Archangel while you fight the Blitz though the former is far safer to fight without meter, afterwards take out a Ginn if you need to get the 50% charge for hyper mode before approaching the Buster and using Hyper mode to beat him down.
after that the Aegis will arrive, approach with care and fight cautiously until you get the meter for Hyper mode again before taking him down then swap to the recently arrived Duel and if you have it unleash Hyper mode to clean him up easily before taking out the enemy target.
Unless you are doing some sort of challenge run Do not use the Strike Dagger as once again the 105 Dagger is just a better version of it.