Use Go 1.20 `errors.Join` instead of `go.uber.org/multierr`

[mx-psi]

Component(s)

No response

Describe the issue you're reporting

Go 1.20 includes new builtin error joining support that can replace the usage of go.uber.org/multierr. We should switch to using these and ban the usage of go.uber.org/multierr via depguard (same as this).

Counterpart of open-telemetry/opentelemetry-collector#8210.

This is blocked by #25116

[bryan-aguilar]

Would we prefer to see this per component or one big search and replace PR?

[mx-psi]

Would we prefer to see this per component or one big search and replace PR?

I guess it is up to whoever takes this, my experience is that per component (or at least not everything at once) is a bit less frustrating for contributors given the churn of conflicts

[shivanshuraj1333]

I can work on this, @mx-psi kindly assign, would do once the blocker PR is merged.