A stated MOQ is a production-efficiency number, not a rule handed down from above. It moves when you give the supplier a reason.
What works: committing to a schedule rather than a single order; accepting a stock colour or specification; taking a mixed pallet of existing SKUs; paying a larger deposit; agreeing a longer lead time so your run fits an existing production slot.
What does not: asking for a lower MOQ with no context, or opening with a price demand before the supplier knows what you actually need.
On bee2bee.ae the volume price tiers show exactly where the breaks are, so you can see what a modest increase in quantity is worth before you negotiate.