Good thing you have the screenshots to show that it's like MMBN / One Step From Eden / whatever grid shooter.
Judging from tags in these games, you might want to add Grid-based as a tag.
https://itch.io/games/tag-megaman-battle-network
Good music!
That the Shoot Button is also left-mouse click I only noticed after moving between comment and game, and should be noted in the game instructions.
But it's not a mouse-game. Can't click buttons, mmm.
So, Lola at least doesn't kill you if you lose. That's good?