Remove healthcheck command

- Remove healthcheck import and registration from cmd.go
- Delete pkg/cmd/healthcheck directory and all related files
- Healthcheck command was identified as an additional removal request

This further streamlines the CLI by removing the backend health
checking functionality from the core CLI commands.

Co-Authored-By: Alec Fong <[email protected]>

Author: devin-ai-integration[bot]

pkg/cmd/cmd.go

@@ -9,7 +9,6 @@ import (
 	"github.com/brevdev/brev-cli/pkg/cmd/copy"
 	"github.com/brevdev/brev-cli/pkg/cmd/create"
 	"github.com/brevdev/brev-cli/pkg/cmd/delete"
-	"github.com/brevdev/brev-cli/pkg/cmd/healthcheck"
 	"github.com/brevdev/brev-cli/pkg/cmd/initfile"
 	"github.com/brevdev/brev-cli/pkg/cmd/invite"
 	"github.com/brevdev/brev-cli/pkg/cmd/login"
@@ -240,7 +239,6 @@ func createCmdTree(cmd *cobra.Command, t *terminal.Terminal, loginCmdStore *stor
 	cmd.AddCommand(profile.NewCmdProfile(t, loginCmdStore, noLoginCmdStore))
 	cmd.AddCommand(refresh.NewCmdRefresh(t, loginCmdStore))
 	cmd.AddCommand(proxy.NewCmdProxy(t, noLoginCmdStore))
-	cmd.AddCommand(healthcheck.NewCmdHealthcheck(t, noLoginCmdStore))
 
 	cmd.AddCommand(setupworkspace.NewCmdSetupWorkspace(noLoginCmdStore))
 }