[FEATURE REQUEST] filter for capturing HttpException

[jpage-godaddy]

Is your feature request related to a problem? Please describe.
I noticed that the customErrorObject callback for pino-http was not being triggered when an error deriving from HttpException was thrown. This is because the built-in NestJS BaseExceptionFilter was kicking in, sending a response based on the status code/content of the exception. Using LoggerErrorInterceptor globally does not work because BaseExceptionFilter converts HttpException errors to a regular "successful" response. I would like my logging code to receive HttpException objects so I can log the error response bodies.

Describe the solution you'd like
It'd be nice if this library explained the case of HttpException and HttpException-derived errors not being caught by LoggerErrorInterceptor. Luckily, the code to work around the problem is pretty simple, and maybe nestjs-pino could provide an exception filter out of the box as an alternative to LoggerErrorInterceptor:

import { Catch, ArgumentsHost } from '@nestjs/common';
import { BaseExceptionFilter } from '@nestjs/core';
import { Response } from 'express';

@Catch(Error)
export class ExceptionCapturingFilter extends BaseExceptionFilter {
  catch(exception: Error, host: ArgumentsHost) {
    // If `pino-http` sees this property, it will cause the error logging to
    // kick in.
    host.switchToHttp().getResponse<Response>().err = exception;
    super.catch(exception, host);
  }
}

Here's an example of how to inject it globally:

import { Module } from '@nestjs/common';
import { APP_FILTER } from '@nestjs/core';
import logger from './logger.js';
import { ExceptionCapturingFilter } from './exception-capturing-filter.js';

@Module({
  imports: [logger],
  providers: [
    {
      provide: APP_FILTER,
      useClass: ExceptionCapturingFilter,
    },
  ],
})
export class LoggingModule {}

Describe alternatives you've considered
I tried using LoggerErrorInterceptor globally and on each individual controller; nothing was allowing the base exception filter to be bypassed.

Additional context
None so far.