"When my Synchro Summon succeeds, I activate its effect: I send up to as many Lightsworn monsters as the number of Lightsworn monsters used as its Synchro Materials from my Deck to the Graveyard, with a maximum of one of each Type. I choose to send Weiss, Lightsworn Archer and Lightsworn Archer Felis from my Deck to the Graveyard."
"Felis's effect activates. When this card is sent from the Deck to the Graveyard by a monster effect, Special Summon it. Then, Chain Link 2, Weiss's effect: when this card is sent to the Graveyard, I can target 1 Lightsworn monster in my Graveyard and Special Summon it. I target the Lightsworn Dragon in my Graveyard."
The effects resolved in reverse order: Chain Link 2, Weiss's effect Special Summoned the Lightsworn Dragon; Chain Link 1, Felis's effect Special Summoned Felis.
"The Lightsworn Dragon's Special Summon effect activates. I can send 1 Lightsworn card from my Deck to the Graveyard. I choose to send the Trap Card Lightsworn Aegis to the Graveyard. Lightsworn Aegis's effect activates: when this card is sent to the Graveyard, I can Set it on the field."
"I set Link Arrows using myself, Felis, and the Lightsworn Dragon on my field, then Link Summon the Link-3 Lightsworn Dominator Kyrios. When Kyrios is Link Summoned, once per turn per card name, I can send 1 card from my Deck to the Graveyard. I choose to send Judgment Dragon from my Deck to the Graveyard."
"Since I sent cards to the Graveyard by an effect, Kyrios's second effect activates, sending the top three cards of my Deck to the Graveyard. The Equip Spell Lightsworn Rapier that was sent to the Graveyard activates; it can equip itself to a Lightsworn monster on the field. I equip it to Kyrios."
Having reached