Generate product bundle ideas that are checked against margin and inventory before you fall in love with one

Generate bundle ideas from the product catalog below — but every bundle idea needs to survive a margin and inventory sanity check, not just sound like a good pairing.

PRODUCTS AVAILABLE TO BUNDLE
Ceramic mug ($12, 60% margin), pour-over dripper ($28, 45% margin), bag of coffee beans ($16, 35% margin), travel tumbler ($22, 55% margin)

CUSTOMER BEHAVIOR DATA (what's actually bought together, if known)
Order data shows the dripper and coffee beans are co-purchased in about 40% of dripper orders; the mug is rarely bought alongside either

INVENTORY CONSTRAINTS
Coffee beans are a fast-moving, easily restocked item; the pour-over dripper is on a 6-week reorder lead time and currently at 3 weeks of stock left

TARGET DISCOUNT OR PRICE ANCHOR
Aiming for a 15% discount off combined individual prices to make the bundle feel like a clear deal

STEP 1 — GENERATE 5 BUNDLE CONCEPTS
Propose 5 bundles, prioritizing ones supported by actual purchase pattern data over ones that just sound logically complementary — a data-backed pairing beats a plausible-sounding one you invented from category logic alone. For each, name the bundle, list the included products, and state in one line the actual reason a customer would want these together (a genuine use-case reason, not "customers who like A also like B" restated).

STEP 2 — MARGIN CHECK
For each bundle, using the margins I gave you, calculate roughly whether the bundle can absorb the target discount and still hit a reasonable blended margin, or flag it as margin-negative at the stated discount. Do not propose a discount percentage for me without checking it against the actual margins provided.

STEP 3 — INVENTORY CHECK
Flag any bundle that pairs a healthy-stock item with a constrained or low-stock item, since a bundle can create artificial demand pressure on the scarce component and cause stockouts on the item you can least afford to run out of.

STEP 4 — RANK
Rank the 5 bundles by overall viability (customer appeal + margin health + inventory safety combined), not just by which sounds most appealing on its own.

WHAT NOT TO DO
Do not recommend a bundle discount deep enough to be margin-negative just because it would look attractive to a customer — a bundle that loses money per unit sold isn't a promotion, it's a pricing mistake wearing a bundle's clothing.

OUTPUT FORMAT
Five bundles with the checks above, then a final ranked list with one-line reasoning per rank.