[elawler24]

Agreed, you should make a decision on who is the CEO. Eventually this will become clear anyways, so just deal with the awkward situation now. When (if) you go out to raise money, the CEO should be the person doing outreach, pitching the vision, and closing deals - that might clarify who wants to take on the role.

Separately - it sounds like you're having trouble aligning and moving forward. Slapping on a CEO title won't resolve that. You'll have to get comfortable with conflict and a bias for action. The pricing question might not matter unless you have PMF - but your relationship could decline if you can't discuss and move forward without resentment.

A few things that might be helpful to read - (1) Radical Candor by Kim Scott, (2) Stripe's operating principles handbook.