missing TERM_PROGRAM and TERM_PROGRAM_VERSION environment variables when launched via window manager, Dock, or launcher

[networkhermit]

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Describe the bug / provide steps to reproduce it

When I launch Zed via system launcher and open a project, the login shell exited with exit status 1, the LSP path lookup also fails.

This is partly due to my zshrc automatically exec tmux upon startup, but Zed already set TERM_PROGRAM and TERM_PROGRAM_VERSION environment variables in integrated terminal (see #4571 and #14213 ), it would be more consistent if we could provide these environment variables to login shell too.

if [[ -z "${TMUX}" ]] && [[ -z "${VIM}" ]]; then
    if [[ "${TERM}" = xterm-256color ]] || [[ "${TERM}" = tmux-256color ]]; then
        case ${TERM_PROGRAM} in
        vscode | zed)
            ;;
        *)
            exec tmux new-session -A -D -s main
            ;;
        esac
    fi
fi

Environment

Zed: v0.165.4 (Zed)
OS: macOS 15.2.0
Memory: 16 GiB
Architecture: aarch64

If applicable, add screenshots or screencasts of the incorrect state / behavior

No response

If applicable, attach your Zed.log file to this issue.

Zed.log

2024-12-13T11:06:35.707747+08:00 [INFO] building git repository, `.git` path in the worktree: ".git"
2024-12-13T11:06:35.801047+08:00 [ERROR] login shell exited with exit status: 1