This is one of the reasons why in the UK, back in the early 1990s, it was recommended that construction projects (both public and private) switch to what is now called "NEC" contracts:
* https://www.designingbuildings.co.uk/wiki/NEC3
Most contracts are cookie cutter templates, so everyone is familiar with them and lawyers don't need to be called in to create bespoke solutions for every project. There are various options if fixed-priced or cost-plus is desired, and pre-agreed schedule is decided on so that payments only go out at specific milestones.
Can anyone from the UK comment on the pros/cons of the system?