Rulings
Q1: If the 3 cards I reveal from my deck for this card's effect include only either a card with the Hybrid or Ten Warriors trait or a Tamer card with an inherited effect, can I just add that 1 card to my hand?
Yes, even if you only reveal one of the applicable cards, you can still add it to your hand.
Q2: If the 3 cards I reveal from my deck for this card's effect include both a card with the Hybrid or Ten Warriors trait and a Tamer card with an inherited effect, can I choose to only add one of them to my hand, and place the remaining cards at the bottom of my deck?
No. If you have cards that are targets of this effect, you must add as many cards to your hand as possible.
Q3: What does this card's "Tamer card with inherited effects" mean, exactly?
It means a Tamer card with "Inherited Effect" in its lower text. A Tamer card with a Security effect in its lower text isn't a "Tamer card with inherited effects."
Data Sources
Lv.3 Flamemon BT17-009 C Hybrid | Variable | Wizard [On Play] Reveal the top 3 cards of your deck. Add 1 card with the [Hybrid] or [Ten Warriors] trait and 1 Tamer card with inherited effects among them to the hand. Return the rest to the bottom of the deck. --- Inherited: [On Deletion] You may play 1 Tamer card with inherited effects from your hand without paying the cost.
Lv.3 Flamemon BT17-009 C Hybrid | Variable | Wizard [On Play] Reveal the top 3 cards of your deck. Add 1 card with the [Hybrid] or [Ten Warriors] trait and 1 Tamer card with inherited effects among them to the hand. Return the rest to the bottom of the deck. --- Inherited: [On Deletion] You may play 1 Tamer card with inherited effects from your hand without paying the cost.
Lv.3 Flamemon BT17-009 C Hybrid | Variable | Wizard [On Play] Reveal the top 3 cards of your deck. Add 1 card with the [Hybrid] or [Ten Warriors] trait and 1 Tamer card with an inherited effect among them to the hand. Return the rest to the bottom of the deck. --- Inherited: [On Deletion] You may play 1 Tamer card with inherited effects from your hand without paying the cost.
Lv.3 フレイモン BT17-009 C ハイブリッド体 | ヴァリアブル種 | 魔人型 【登場時】自分のデッキの上から3枚オープンする。その中の特徴に「ハイブリッド体」/「十闘士」を持つカードと進化元効果を持つテイマーカード1枚ずつを手札に加える。残りはデッキの下に戻す。 --- Inherited: 【消滅時】自分の手札から、進化元効果を持つテイマーカード1枚をコストを支払わずに登場できる。