Please support me to analyse all processes and clarify the nature of impasses in my below negotiation. Please stick to "Negotiation Impasses" framework from Martin Schweinsberg, Stefan Thau, and Madam M$.$ Pillutla and deep dive the impasses in decission$-$making process.

Please anslyse detail about structural factors related to the negotiation situation. e$.$g$.,$ BATNA, communication channels, negotiations about sacred value issues and those related to the negotiators $($e$.$g$.,$ group and individual negotiations, representation by agents$).$ And structural factors can lead to a wanted impasse when both parties are adversely affected by$,$ for example, negotiating through certain communication channels, external time pressures, negotiating in groups, sacred values, and a narrow bargaining zone

Given topic: The negotiation involved discussions between myself and a supplier over contract terms for a large purchase of materials needed for my company's manufacturing process. The supplier was pushing for a higher price per unit, citing increased costs of raw materials, while our objective was to maintain cost efficiency without compromising on the quality of inputs.

During the negotiation, I found myself inclined to agree to a higher price than initially planned, despite initially intending to firmly negotiate for a lower cost. Why did it happen during my negotiation? Reaching an impasse from my side was beneficial to my supplier in this case.