Chanukah Covenant Meal

Hello Rabbi, I hope you are well.

My daughter gave birth at a good hour yesterday, and the wedding is scheduled for Monday.

Regarding determining the time of the wedding – my wife has work constraints, so the earliest time for her is 3 o’clock.

My wife is not an employee, but self-employed, and during Hanukkah she runs a camp for which people register in advance, so canceling the activity would cause financial damage and damage to her reputation.

Some guests would prefer an hour earlier in order to have time to light candles at sunset or at five o’clock, as is customary among the Bnei Barakim.

The question being asked is whether a mitzvah meal of a covenant (assuming that it cannot be brought forward before 3 if one wants the Sesta to be present…) overrides the matter of lighting candles at sunset.

The daughter and her husband want to move forward as much as possible out of consideration for the younger family members.

Personally – I don’t really understand the hesitation… Assuming that the ceremony begins exactly at 3 (Rabbi Diamant…), you can sit for another half hour and get going (apparently there’s no point in having Hadar sit through the entire meal, including desserts).
The more fundamental question is whether the lighting time set for sunset is the time when the obligation begins, but from this time until the time a foot of water is consumed, there is no priority for the lighting time from the perspective of the lighting commandment (and not from the general law of preempting the commandments), or whether the commandment is to light the lamp as early as possible within the time frame and in any case there is priority for lighting at 5 over removing it at 6.
Regards