By presenting competitors' pricing and solutions, you create leverage in your negotiation with Outgrow. Highlight that other providers are offering similar functionality at a lower price, which can pressure Outgrow to match or improve their offer. This tactic is especially effective if you have competing quotes or solid alternatives in mind.
Negotiate to have any uplift fees waived, particularly if there hasn't been a clear communication about this increase in previous agreements. Frame your request around the budget constraints that your organization faces; emphasize that you expect to maintain stable pricing in light of anticipated growth.
If you anticipate ramping up usage or adding users soon, leverage that anticipated growth to negotiate better pricing on a per-user basis. Emphasize the need for economies of scale and ensure that Outgrow understands their pricing model has to accommodate your growth expectations.
Emphasize the importance of not having an auto-renewal clause in the contract. This requirement from your finance/legal team can give leverage during negotiations since it implies that you must evaluate and renew the contract actively rather than being automatically locked in at potentially unfavorable terms.
Given your previous engagement with Outgrow, argue for a one-time discount that reflects your loyalty as a customer. Set the expectation that this discount will carry over into any future contracts or negotiations. It might lead to cost savings on the current deal and provide a basis for future negotiations.