revert: let project beads config control sync-branch

The sync-branch setting is up to the project's .beads/config.yaml,
not something Gas Town should force. Projects can use bd doctor --fix
to configure sync-branch if they want multi-clone coordination.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

internal/doctor/beads_sync_check.go

@@ -1,110 +0,0 @@
-package doctor
-
-import (
-	"os"
-	"path/filepath"
-	"strings"
-)
-
-// BeadsSyncBranchCheck verifies that rig-level beads have sync-branch configured.
-// Rig beads need sync-branch for multi-clone coordination (polecats, crew, etc.)
-// Town-level beads should NOT have sync-branch (single clone, commits to main).
-type BeadsSyncBranchCheck struct {
-	FixableCheck
-}
-
-// NewBeadsSyncBranchCheck creates a new sync-branch configuration check.
-func NewBeadsSyncBranchCheck() *BeadsSyncBranchCheck {
-	return &BeadsSyncBranchCheck{
-		FixableCheck: FixableCheck{
-			BaseCheck: BaseCheck{
-				CheckName:        "beads-sync-branch",
-				CheckDescription: "Verify rig beads have sync-branch configured",
-			},
-		},
-	}
-}
-
-// Run checks if rig-level beads have sync-branch properly configured.
-func (c *BeadsSyncBranchCheck) Run(ctx *CheckContext) *CheckResult {
-	// Only check if a rig is specified
-	if ctx.RigName == "" {
-		return &CheckResult{
-			Name:    c.Name(),
-			Status:  StatusOK,
-			Message: "No rig specified, skipping rig beads sync-branch check",
-		}
-	}
-
-	// Check rig-level beads config
-	rigBeadsDir := filepath.Join(ctx.RigPath(), ".beads")
-	configPath := filepath.Join(rigBeadsDir, "config.yaml")
-
-	content, err := os.ReadFile(configPath)
-	if err != nil {
-		if os.IsNotExist(err) {
-			return &CheckResult{
-				Name:    c.Name(),
-				Status:  StatusWarning,
-				Message: "No .beads/config.yaml in rig",
-				FixHint: "Run 'bd init' in the rig directory",
-			}
-		}
-		return &CheckResult{
-			Name:    c.Name(),
-			Status:  StatusError,
-			Message: "Could not read .beads/config.yaml: " + err.Error(),
-		}
-	}
-
-	// Check for sync-branch setting
-	if !strings.Contains(string(content), "sync-branch:") {
-		return &CheckResult{
-			Name:    c.Name(),
-			Status:  StatusWarning,
-			Message: "Rig beads missing sync-branch configuration",
-			Details: []string{
-				"Rig: " + ctx.RigName,
-				"Rig beads need sync-branch for multi-clone coordination",
-				"Without this, polecats and crew members can't share beads",
-			},
-			FixHint: "Run 'gt doctor --fix' or add 'sync-branch: beads-sync' to .beads/config.yaml",
-		}
-	}
-
-	return &CheckResult{
-		Name:    c.Name(),
-		Status:  StatusOK,
-		Message: "Rig beads sync-branch is configured",
-	}
-}
-
-// Fix adds sync-branch to the rig beads config.
-func (c *BeadsSyncBranchCheck) Fix(ctx *CheckContext) error {
-	if ctx.RigName == "" {
-		return nil
-	}
-
-	rigBeadsDir := filepath.Join(ctx.RigPath(), ".beads")
-	configPath := filepath.Join(rigBeadsDir, "config.yaml")
-
-	content, err := os.ReadFile(configPath)
-	if err != nil {
-		return err
-	}
-
-	// Check if already configured
-	if strings.Contains(string(content), "sync-branch:") {
-		return nil
-	}
-
-	// Append sync-branch setting
-	f, err := os.OpenFile(configPath, os.O_APPEND|os.O_WRONLY, 0644)
-	if err != nil {
-		return err
-	}
-	defer f.Close()
-
-	_, err = f.WriteString("sync-branch: beads-sync\n")
-	return err
-}