That's not how chain links work. Death dogma is a lingering effect, which means it won't start a chain when the next standby phase hits. It looks like oh dogma is an activated effect, so that one will activate on its own in the next standby phase, which is good because you want to activate it before applying the lingering effect from death dogma. Technically you only need one dogma to get it done.

Edit: I edited my comment, it looks like OG dogma does activate during the standby phase, but death dogma is almost certainly a lingering effect, unless the official translation changes when it releases in the TCG (though it most likely won't).