Set default content type for problem details object to `application/problem+json`

[T-bond]

Is your feature request related to a problem? Please describe.

By default Spring sets the content type of responses returned with the ProblemDetail object
to application/problem+json correctly according to the RFC.
Unfortunately, Springdoc sets these endpoints as they return the defaultProducesMediaType (springdoc.default-produces-media-type) too.

Spring configuration:

spring.mvc.problemdetails.enabled=true
springdoc.default-produces-media-type=application/json

Example exception handler:

...
import org.springframework.http.ProblemDetail

@ControllerAdvice
class GlobalExceptionHandler {
    @ExceptionHandler
    @ResponseStatus(HttpStatus.BAD_REQUEST)
    fun myCustomError(exception: MyCustomException) = ProblemDetail.forStatus(HttpStatus.BAD_REQUEST)
}

Endpoint response:

content-type: application/problem+json;charset=UTF-8 

Generated yaml (relevant part):

        '400':
          description: Bad Request
          content:
            application/json:
              schema:
                $ref: '#/components/schemas/ProblemDetail'

Describe the solution you'd like

I would like to Springdoc also set the content type for these methods automatically to
application/problem+json by default, regardless of the defaultProducesMediaType.

Describe alternatives you've considered

• Setting the produces type on exception handler (supported since Spring Framework 6.2):

  @ExceptionHandler(produces = [MediaType.APPLICATION_PROBLEM_JSON_VALUE])

  Unfortunately Springdoc does not seems to consider the exception handler's produces type yet.
• Defining it with @ApiResponse:

   @ApiResponse(responseCode = "400", content = [Content(mediaType = MediaType.APPLICATION_PROBLEM_JSON_VALUE, schema = Schema(implementation = ProblemDetail::class))])

  It works, but it gets wordy very fast, especially, when I have to duplicate this boilerplate for multiple ExceptionHandler.

Additional context

• Another feature request could be created for supporting ExceptionHandler.produces values for generation.