Refactor error-handling in TS Bindings

### Feature description

Map each Rust's error type into a TS class that extends `Error` where Rust's `Display` implementation is used in TS `Error.message` and Rust's source becomes `Error.cause` in TS.
In the actual Rust's bindings to TS import the TS Error through the use of an extern block and implement a conversion between TS <-> Rust error type.

### Motivation

Current error-handling is worthless. Most of our errors can only logged out in a desperate attempt for users to understand what isn't working.