* [ ] Adjust the Pebble tests to run in new version.
* [x] Adjust version in Docker image ([source](./builder/Dockerfile)).
* [x] Adjust version in the TeamCity agent image ([setup script](./packer/teamcity-agent.sh))
* [x] Rebuild and push the Docker image (following [Basic Process](#basic-process))
* [x] Update `build/teamcity/internal/release/build-and-publish-patched-go/impl.sh` with the new version and adjust SHA256 sums as necessary.
* [x] Run the `Internal / Release / Build and Publish Patched Go` build configuration in TeamCity with your latest version of the script above. This will print out the new URL's and SHA256 sums for the patched Go that you built above.
* [x] Bump the version in `WORKSPACE` under `go_download_sdk`. You may need to bump [rules_go](https://github.com/bazelbuild/rules_go/releases). Also edit the filenames listed in `sdks` and update all the hashes to match what you built in the step above.
* [x] Run `./dev generate bazel` to refresh `distdir_files.bzl`, then `bazel fetch @distdir//:archives` to ensure you've updated all hashes to the correct value.
* [x] Bump the version in `builder.sh` accordingly ([source](./builder.sh#L6)).
* [x] Bump the version in `go-version-check.sh` ([source](./go-version-check.sh)), unless bumping to a new patch release.
* [ ] Bump the go version in `go.mod`. You may also need to rerun `make vendor_rebuild` if vendoring has changed.
* [x] Bump the default installed version of Go in `bootstrap-debian.sh` ([source](./bootstrap/bootstrap-debian.sh)).
* [x] Replace other mentions of the older version of go (grep for `golang:<old_version>` and `go<old_version>`).
* [ ] Update the `builder.dockerImage` parameter in the TeamCity [`Cockroach`](https://teamcity.cockroachdb.com/admin/editProject.html?projectId=Cockroach&tab=projectParams) and [`Internal`](https://teamcity.cockroachdb.com/admin/editProject.html?projectId=Internal&tab=projectParams) projects.
* [ ] Ask the Developer Infrastructure team to deploy new TeamCity agent images according to [packer/README.md](./packer/README.md)
Closes cockroachdb#85908.
Release justification: Upgrade to latest Go version
Release note (build change): upgrade to go 1.19.1