[Bug] Incorrect rust compiler help hint

[h4-h]

I don't know if this issue should be here or in rust issues, but it does occur with this library.

Versions

name	version
rust	1.78.0
async-trait	0.1.80
tokio	1.37.0

Description

If we create a trait that has an asynchronous function with immutable reference to itself and try to mutate it we may get an incorrect (as i know) rust code help hint:

help: consider specifying this binding's type
   |
15 |     async fn non_mutable_fn(&self: &mut TestStruct, new: i32) {
   |                                  +++++++++++++++++

Full code on rust-playground.com

Or here

use async_trait::async_trait; // 0.1.80
use tokio; // 1.37.0

#[async_trait]
trait First {
    async fn non_mutable_fn(&self, new: i32);
}

struct TestStruct {
    nums: Vec<i32>
}

#[async_trait]
impl First for TestStruct {
    async fn non_mutable_fn(&self, new: i32) {
        self.nums.push(new);
    }
}

#[tokio::main]
async fn main() {
    let test_struct = TestStruct { nums: Vec::new() };
    test_struct.non_mutable_fn(3).await;
}

Expected behavior

Standard help about mutable reference, without the async-trait crate you can achieve that:

help: consider changing this to be a mutable reference
   |
13 |     async fn non_mutable_fn(&mut self, new: i32) {
   |                             ~~~~~~~~~