Luck and variant questions are related but not identical. A luck upgrade may affect some chance in the game, while a variant is a collectible result name. The public description links both to progression at a high level, but it does not provide the numeric relationship required for a break-even tool.
That missing relationship matters. A simulator with guessed odds can look authoritative because it produces precise percentages and animated outcomes. Precision does not make the input true. The site holds the gacha simulator and luck break-even helper until official or reproducible numbers can be reviewed.
For launch, the useful decision is budget-based. Read the upgrade cost, protect the reserve you need for auctions, and label any observed effect with a checked date. If a future update or creator-owned source publishes odds or multipliers, the source page and variant reference can be updated before new calculations go live.