You’re never going to introduce something new if you back off at the first sign of resistance. Commit to what you want and scowls will turn into smiles.
You tried your best to figure out how to salvage a troubled situation but sometimes the only solution is to walk away. It may be the best for all involved.
Is the other party committed to reconciling differences? Gently remind them that replacing one list of demands with another isn’t negotiating.
Leave smoldering resentments alone because addressing them now (no matter how well intentioned) will only fan embers into a flame.
You don’t feel like yielding a single point, but is it worth sacrificing recent gains? If you’re still uncertain, consult someone whose opinion you trust.
It costs more to remove yourself from an association than it would to just grin and bear it for now. Tensions abate by next week.