When ripgrep/ffmpeg is missing, `winget install <id>` on a package winget
already has registered is treated as an upgrade: it finds no newer version and
exits 0x8A15002B (-1978335189, APPINSTALLER_CLI_ERROR_UPDATE_NOT_APPLICABLE)
without ensuring the binary is actually present. The installer only logged that
code and judged success by `Get-Command rg`, so a stale registration (files
removed outside winget, or a missing alias shim) became a permanent dead-end —
winget kept reporting "already installed" and the user could never reinstall.
Detect that exit code and retry once with `--force` to repair the registration
so the shim reappears.
Also refresh the process PATH after the choco and scoop fallbacks (not just
winget) via a shared helper, so a successful fallback install — or any install
on a box without winget — is no longer misreported as "not installed".