Feature request: support merge-based stack synchronization without force-pushing

首先追踪现有的 "Rebase stack" 工作流以及 CLI 中的 stack 同步命令。梳理分支更新、Force-Pushes、冲突、审批、checks 和受保护分支的处理方式。完成标准是：可选择的基于 Merge 的模式能够按 stack 顺序同步分支，且不会执行 Force-Pushes，同时现有的基于 Rebase 的 stack 继续正常工作。

Summary

Please add an option for stacked pull requests to synchronize branches using merge commits instead of rebasing and force-pushing branch history.

Motivation

Our organization does not allow force-pushes because they rewrite branch history and can make audit trails, approvals, and incident investigation more difficult. The current "Rebase stack" workflow is therefore incompatible with our repository policies.

Proposed behavior

Add a merge-based synchronization mode for stacks:

• When a parent branch changes, merge the parent into each child branch in stack order.
• Preserve existing commits and branch history.
• Do not force-push rewritten branch history.
• Keep the existing rebase behavior as the default or as a selectable repository/stack setting.
• Make the selected synchronization mode visible in the stack UI and CLI.
• Respect branch protection and merge-commit policies.

Example

Given:

main
└── feature-a
    └── feature-b

When main advances, merge main into feature-a, then merge the updated feature-a into feature-b, instead of rebasing both branches and force-pushing them.

Acceptance criteria

• A stack can be configured to use merge-based synchronization.
• Synchronizing the stack does not require force-pushing any branch.
• Existing approvals and checks are handled consistently with the merge-based history.
• Conflicts are reported per branch and can be resolved through the normal workflow.
• The behavior works with protected branches that block force-pushes.
• Existing rebase-based stacks continue to work unchanged.

Related issues

• #268: Stacked PR cannot be merged into a merge-queue branch
• #442: gh stack sync pushed a stack branch's merge commit directly onto the trunk branch