[2rsf]

Here's how we intended the system to work at one of those big ones-

We were using the sky blue devops system that the company developed to track development tickets.

Bugs were triaged as soon as they arrived, by email or otherwise, and they were either fixed asap or turned to a development ticket with the needed priority.

If you think about it there is no real reason to track bugs as such, hopefully your management won't care about bug statistics.

The above system works well enough if it's a small enough product and not too many bugs, if you have to track bugs anyway you can use your development tickets tagged with "bug"