Bad recommendation letter from previous postdoc adviser
When applying for your first tenure track job most search committees will expect that your PhD supervisor and current supervisor will be amongst the N letters of recommendation that you provide. While having your PhD supervisor and current supervisor write letters is not a strict requirement their absence would be noticed. The other letters can come from anyone that knows you well and is experienced enough to write letters for a TT position. There is no expectation that you have letters from all supervisors that you worked with.

That said, you should talk with your current supervisor about the possibility of getting a letter. There maybe some positions they are willing to recommend you for and there may be cases where you need N+1 letters and you only have N.