For examples Lightning, Security Sergeant needs to remain on the battlefield, Grolnok, the Omnivore can only add croak counters if the card went directly from the library to the graveyard (usually because it was milled), and Kaya the Inexorables emblem only triggers at your upkeep and looks at legendaries
Today, well look at how to pick a board wipe, what makes a board wipe good, and some great budget alternatives to the most expensive removal around
Unless the Azorius themselves have a cost-reduction mechanic that Lavinia is countering (which seems somewhat dangerous when Wizards is aware of just how powerful Teferi is and the guild is about to receive a second Planeswalker as Dovin Baan takes command), its hard for me to see why Lavinia has access to this particular power set
Make proactive use of your Leader's effect while also securing the cards you want in the latter half of the game with "OP06-013 Monkey Blocker that can use its +1000 Counter to stand up to any enemy Leader, no matter how tough
Do not disable monitoring after a failed attempt