Yeah, we can still reduce more. One author of a book on tactics wrote once that all tactics have to do with double attack (although I am not sure about this). In any case, with such a list I can see which specific patterns I am not able to see, like taking en passant as part of a combination, or to relay too early after finding the key move. It is more about being specific. But your list is for sure great. Point 1 is important, as there is nothing more important than the King, right, so attacking him make everything very forced. Point 2 is also about eliminating defenders, an aspect that I am aware when attacking but not really when defending. Point 3 is the idea of a lot of combinations, getting a pawn, a whole rook or the quality. Most combinations are rather forced, this is actually one of the definitions of tactics. But I like that chess.com include some exercises on endgames...
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I was trying to write down what is going on in the tactic training. I tried to put in words the key ideas of the exercise. This is the result:
1. Use all my figures in the attack
2. Keep things simple
3. Consider taking en passant (twice wrong)
4. See the whole range of the Queen
5. Destroy the defender (twice right, once wrong)
6. Trap the Queen
7. Keep an eye on my undefended figures while attacking
8. When attacking, look for good moves after finding the key move
9. check the N-forks
10. Trap the N
11. See how pawns help in the attack
12. See the B helping the N to checkmate
13. Keep an eye on double attacks (of course)
14. Be sure that the defenders are really blocked in your attacking net
15. Threat checkmate and take material (similar to 13)
16. With the help of pawns, the Q can mate on a rook file
17. After a check, don't panic; perhaps you can win the attacker (if you attack the attacker with a pawn, for example).
I will go on doing so and I will see if this helps me to get better in tactics.