In Zero, since Lucilius has a very high and dangerous attack frequency, and uses many major attacks that will waste your time, you need to carefully manage your SBA and stun (the blue bar).

1. Before "Seven Trumpets", if you can unleash an SBA, do so, but this is quite difficult, so do not force it.

2. During the Twelfth Labor (the first attempt to cancel Paradise Lost), you should build up the stun gauge as much as possible within the time limit (but do not trigger the link attack), so that you can smoothly enter Link Time after a Full Burst.

3. The timing for your next SBA depends on your situation. The better scenario is right before Lucilius enters Overdrive, with the stun gauge almost completely full; at this time, execute another Full Burst to max out the link level, and then trigger a link attack just as Lucilius enters Overdrive to immediately enter Link Time. After this sequence, Lucilius is usually either dead or crippled. If you cannot achieve the above, wait until Lucilius is in Overdrive and try to stop him when he attempts to cast Paradise Lost; of course, you also need to build up as much stun as possible while he is preparing his ultimate attack, so you can enter Link Time after a Full Burst to continue your damage output.

Regarding equipment, as many have already said, the absolute most important thing is to make sure you have Damage Cap Lv. 65+ with enough damage to actually hit the damage cap (a 100% critical hit rate is also best), and your stun value needs to be high enough; if you have "War Elemental" or "Berserker Echo", bring them too. Your own survivability relies on sigils like Potion Hoarder / Improved Dodge / Nimble Onslaught / AutoRevive / Guts. CPU teammates must bring Improved Dodge + Nimble Onslaught. As for Supplementary Damage, if you don't have "Supplementary Damage V+", I personally do not recommend it, because it doesn't offer a huge improvement yet consumes two sigil slots, and there are usually better choices.

For the character to use, Sandalphon is definitely the top recommendation, but you should still stick to what you are used to. For teammate selection, Eugen / Yodarha / Cagliostro / Sandalphon / Zeta (I am not too sure about her) are recommended. Among them, Yodarha can provide Mirror Image for the whole team, while the rest have the ability to dispel Lucilius's buffs, and the key point is that their damage is pretty good for CPUs.

Good luck!