Propagating require("lazy.status").has_updates() across neovim instances

[olimorris]

My workflow sees me have a tmux session for each repository I work in. Of course each tmux session has a Neovim instance open.

I like to show the amount of updates available via Lazy in my statusline (using Heirline for those interested):

M.Lazy = {
  condition = function(self)
    return require("lazy.status").has_updates()
  end,
  update = { "User", pattern = "LazyUpdate" },
  provider = function() return "  " .. require("lazy.status").updates() .. " " end,
  on_click = {
    callback = function() require("lazy").update() end,
    name = "update_plugins",
  },
  hl = { fg = "gray" },
}

If I run require("lazy").update() then it will quite neatly hide lazy in my statusline. However...only for the current Neovim instance.

Curious to pick the brains of other lazy users as to how I could solve this. Wondering if SHADA and global variables could be an option?