meta: Transition the SDK to use issue types over issue type labels #13210
Description
Description
We are using issue types as per the beta: https://github.com/orgs/community/discussions/112806
Let's rely on these instead of using the Type: bug and Type: improvement labels
### Tasks
- [ ] https://github.com/getsentry/sentry-javascript/pull/13211
- [x] Categorize everything with issue types
- [x] Remove old issue type labels from bug template