This app was mentioned in 4 comments, with an average of 1.50 upvotes
Get a cheap Android device (like a low-spec, no-contract smartphone - Typically available for around $20 at grocery stores in the US), and install the Sentinels Sidekick app as well. It tracks all the combinations of effects for you, and works out all the modifiers so you never overlook anything.
This game has a lot of modifiers and triggering events to keep track of.
Alternatively, if you get a tablet, you could get the full Sentinels of the Multiverse game. $10 for the base set, $20 for all existing and future expansions. A lot cheaper than the physical product, even if you factor in the tablet's cost.
There's an app to, while playing the physical card game, manage the many chits needed to track damage, etc. https://play.google.com/store/apps/details?id=com.handelabra.sentinelssidekick&hl=en
You may find "Sentinels Sidekick" useful:
https://play.google.com/store/apps/details?id=com.handelabra.sentinelssidekick&hl=en_GB
Mine doesn't need battery. Plus there's always this if I want to use my phone/tablet