I adored the new chapter of Bell the Cat! It did make me wonder though - is akumatization as easy to undo in your story as it is in canon? And if Chat Blanc had died, would the akumatization have been undone automatically?
Akumatisation is similar to how it is in canon: butterfly goes out -> sentimental item of victim gets possessed -> victim turns into some superpowered villain
The undoing of it though differs slightly as Ladybug's powerset isn't the exact same as canon. The main difference is that she can't cast "Miraculous Ladybug" and cure all the wounds, repair the damage and undoing any deaths caused by the Akuma.
Healing is one of the main aspects of Tikki's power (according to Kwami lore of this world), but its something Ladybug hasn't been able to manifest. However there have been people in the past who were Blessed by Tikki who were said to be great healers.
Ladybug's primary ability is still the "Lucky Charm". It functions similar to canon in that it will give her a (seemingly) random item that she can use to aid her. Fighting the Akuma is normally a test of her swordsmanship, but the Lucky Charm is what helps her gain the upper hand even against opponents more than twice her size.
When she defeats the Akuma, she uses the Lucky Charm to purify them (not healing, just cleansing). Purifying isn't as instant as casting the Lucky Charm, which is why she can't just do it mid fight. She has to focus it and the Lucky Charm will break down into an essence that will then cleanse the afflicted item (so sort of like canon "Miraculous Ladybug" sweeping over Paris, but just localised to a miniature scale).
She can cast multiple Lucky Charms within the same fight, but it can be insanely exhausting to do so, often making it not worth the risk. There also doesn't need to be an Akumatised person present for her to use Lucky Charm.
Lucky Charms can also have other uses outside of a fight - like creating the talismans seen in the show. Those are exceptionally rare though and Ladybug only seems to be able to create them out of very specific circumstance or just sheer dumb luck.
These are all things that will definitely come up in the fic and be given a little more detail in how they function/what actually happens when a power is used...At least from Ladybug's POV. It's her power yet even she's not entirely sure how it works sometimes. On occasion, she's just convinced that Tikki has to be messing with her.