Add Sentry logging to API calls

## What does this MR do?

This MR adds support for Sentry logging in the API.

## Are there points in the code the reviewer needs to double check?

Since the `Grape::Middleware` doesn't have a `params` method, I had to define one using the Rack Request.

## Why was this MR needed?

We are missing a lot of useful errors in the API causing git push/pull errors

## What are the relevant issue numbers?

#21043

See merge request !5882