Pokemon Shield GenLock Another Gym?

OK tonight I am going to find a couple more Pokemon. I got 1 cooking and 2 more I'd like to hunt for. Let's see if we can find them. Also need to get them ranked up. Push for another gym tonight too. Rules continue:
Rules
1) I have to collect my Pokemon in Generation order. The only exception is my starter. Once my first Gen1 is caught I can no longer use my starter until I get to that Gen Pokemon.
2) I can only use the Wild area locations as a capture location if I can’t find a current Gen on the route I’m on. Example: Gen 2 does not appear on the second area. Will have to use a Wild area to catch a Gen 2. I also can’t use the same area for more than 1 capture.
3) I can’t skip Generations. If I run out of a current Gen, Like a Gen 4, I can’t skip it to catch a Gen 5.
4) I can’t duplicate catch to go to the next gen. So if there are only 3 Gen4s I can catch, I can’t catch the same Gen4 just to get another Gen5.
5) I’m only allowed to take the same number of Pokemon into a gym battle. If the gym leader has 2 Pokemon I can only take 2 Pokemon.
6) My Pokemon must fight In Gen order during gym battles. Gen1, Gen 2, Gen3, and so on. I can start any point as long as they are in gen order, meaning Gen 1 always goes first and Gen 8 is last.
7) This is not a Hardcore Nuzlock. Items can be used, but will try and keep them minimal. White out does not mean a failed run. Faint Pokemon can be revived.
8) I can not go more than 3 levels over a gym leader. (Subject to reduce if necessary)
9) I’m not allowed to use a same Generation in my party for XP points. Example: I catch magnimite early to evolve into his Gen4 evolution Magnizone. He needs to be level 30 to evolve for the first time and a lightning stone to evolve into Magnizone. If he is in my party to get XP for evolution, he is not allowed to fight even if he’s the last one in my party. Run ends, start over.