rust-analyzer showing different errors than rustc

rust-analyzer version: rust-analyzer 1.89.0 (2948388 2025-08-04)

rustc version: rustc 1.89.0 (29483883e 2025-08-04)

editor or extension: GNU Emacs 30.2

code snippet to reproduce:

// add your code here
fn main() {
    let _ = (6_u8 & 7_u16) as u32;
}

rust-analyzer gives a confusing error: non-primative cast: '<u8 as BitAnd<u16>>::Output' as 'u32'

while rustc gives the following diagnostics:

error[E0308]: mismatched types
 --> src/main.rs:2:21
  |
2 |     let _ = (6_u8 & 7_u16) as u32;
  |                     ^^^^^ expected `u8`, found `u16`

error[E0277]: no implementation for `u8 & u16`
 --> src/main.rs:2:19
  |
2 |     let _ = (6_u8 & 7_u16) as u32;
  |                   ^ no implementation for `u8 & u16`
  |
  = help: the trait `BitAnd<u16>` is not implemented for `u8`
  = help: the following other types implement trait `BitAnd<Rhs>`:
            `&u8` implements `BitAnd<u8>`
            `&u8` implements `BitAnd`
            `u8` implements `BitAnd<&u8>`
            `u8` implements `BitAnd`

Start by reproducing the Rust snippet in the issue and comparing rust-analyzer's diagnostic with rustc's output. Trace the diagnostic path responsible for the non-primitive-cast message; done means the invalid mixed-type bitwise operation produces diagnostics that are no longer confusing and align with rustc's relevant errors.