what about queen+king and rook+king
Links to practice your checkmate patterns.

mmmh... pas très sur car je pense pas que nous jouons les meilleurs coups, selon moi Dame+Roi contre Tour+Roi dans 90% des cas c'est perdant pour ce lui qui à la tour

That's a theoretical draw. Except perhaps in certain positions where the queen can skewer the king and rook or vice versa.
No, besides a few obvious exceptions, queen vs rook is always winning and can always be won inside the 50 move rule.

You're right.
"With perfect play, in the worst winning position, the queen can win the rook or checkmate within 31 moves". - chess.stackexchange.com
This is excluding positions where stalemate can be forced or if there are pins and skewers.

I'm still not adding it because I want to keep things simple. The drills on chess.com are good if you want to train in positions like this.

what about queen+king and rook+king
https://youtu.be/OQM4NK8kQ3E?si=Fw9zxNczM63AHwwO

8 you say you want to keep things simple which makes sense. keeping queen and rook out makes sense but why bishop and knight? the chances that one faces that in their lifetime is slim. why waste hours on something you're probably never going to face
I only want to add actual checkmate patterns which are one side, vs. a lone king. If you think it's useless to learn how to mate with bishop and knight, you're wrong, I beat someone in rapid in a endgame like that because I knew how to do it.
Two queens and king vs. lone king - practice
Queen and rook and king vs. lone king - practice
Two rooks and king vs. lone king - practice
Queen and king vs. lone king - practice
Rook and king vs. lone king - practice
Two bishops and king vs. lone king - practice
Knight and bishop and king vs. lone king - practice